Question Simplify the expression $-15 m + 9 m$ .

Studdy Solution

STEP 1

Assumptions
1. We are given a simple algebraic expression: $-15m + 9m$ .
2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-15m$ and $9m$ are like terms because they both contain the variable $m$ raised to the first power.

STEP 3

Combine the like terms by adding their coefficients. The variable $m$ will remain unchanged.
$-15m + 9m = (-15 + 9)m$

STEP 4

Perform the addition of the coefficients.
$-15 + 9 = -6$

STEP 5

Now, multiply the result from the previous step by the variable $m$ .
$-6m$

STEP 6

The simplified form of the expression $-15m + 9m$ is $-6m$ .
The solution to the problem is $-6m$ .

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Question Simplify the expression $-15 m + 9 m$ .

Studdy Solution

STEP 1

Assumptions
1. We are given a simple algebraic expression: $-15m + 9m$ .
2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-15m$ and $9m$ are like terms because they both contain the variable $m$ raised to the first power.

STEP 3

Combine the like terms by adding their coefficients. The variable $m$ will remain unchanged.
$-15m + 9m = (-15 + 9)m$

STEP 4

Perform the addition of the coefficients.
$-15 + 9 = -6$

STEP 5

Now, multiply the result from the previous step by the variable $m$ .
$-6m$

STEP 6

The simplified form of the expression $-15m + 9m$ is $-6m$ .
The solution to the problem is $-6m$ .

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Question Simplify the expression −15m+9m-15 m + 9 m−15m+9m.

Studdy Solution

STEP 1

Assumptions1. We are given a simple algebraic expression: −15m+9m-15m + 9m−15m+9m.2. We need to simplify the expression by combining like terms.

STEP 2

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.In the given expression, −15m-15m−15m and 9m9m9m are like terms because they both contain the variable mmm raised to the first power.

STEP 3

Combine the like terms by adding their coefficients. The variable mmm will remain unchanged.−15m+9m=(−15+9)m-15m + 9m = (-15 + 9)m−15m+9m=(−15+9)m

STEP 4

Perform the addition of the coefficients.−15+9=−6-15 + 9 = -6−15+9=−6

STEP 5

Now, multiply the result from the previous step by the variable mmm.−6m-6m−6m

STEP 6

The simplified form of the expression −15m+9m-15m + 9m−15m+9m is −6m-6m−6m.The solution to the problem is −6m-6m−6m.

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Question Simplify the expression $-15 m + 9 m$ .

Assumptions
1. We are given a simple algebraic expression: $-15m + 9m$ .
2. We need to simplify the expression by combining like terms.

Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.
In the given expression, $-15m$ and $9m$ are like terms because they both contain the variable $m$ raised to the first power.

Combine the like terms by adding their coefficients. The variable $m$ will remain unchanged.
$-15m + 9m = (-15 + 9)m$

Perform the addition of the coefficients.
$-15 + 9 = -6$

Now, multiply the result from the previous step by the variable $m$ .
$-6m$

The simplified form of the expression $-15m + 9m$ is $-6m$ .
The solution to the problem is $-6m$ .