Math / Algebra

QuestionSimplify the expression: $10+-5 f+3 f-4$

Studdy Solution

STEP 1

1. The expression involves combining like terms.
2. The terms $10$ , $-5f$ , $3f$ , and $-4$ can be simplified by combining constants and like terms involving $f$ .

STEP 2

1. Identify and combine like terms involving the variable $f$ .
2. Combine the constant terms.

STEP 3

Identify the like terms involving $f$ in the expression:
The terms $-5f$ and $3f$ are like terms.

STEP 4

Combine the like terms involving $f$ :
$-5f + 3f = (-5 + 3)f = -2f$

STEP 5

Identify and combine the constant terms:
The constants are $10$ and $-4$ .
$10 + (-4) = 10 - 4 = 6$

STEP 6

Write the simplified expression by combining the results from the previous steps:
$6 - 2f$
The simplified expression is:
$\boxed{6 - 2f}$

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QuestionSimplify the expression: $10+-5 f+3 f-4$

Studdy Solution

STEP 1

1. The expression involves combining like terms.
2. The terms $10$ , $-5f$ , $3f$ , and $-4$ can be simplified by combining constants and like terms involving $f$ .

STEP 2

1. Identify and combine like terms involving the variable $f$ .
2. Combine the constant terms.

STEP 3

Identify the like terms involving $f$ in the expression:
The terms $-5f$ and $3f$ are like terms.

STEP 4

Combine the like terms involving $f$ :
$-5f + 3f = (-5 + 3)f = -2f$

STEP 5

Identify and combine the constant terms:
The constants are $10$ and $-4$ .
$10 + (-4) = 10 - 4 = 6$

STEP 6

Write the simplified expression by combining the results from the previous steps:
$6 - 2f$
The simplified expression is:
$\boxed{6 - 2f}$

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QuestionSimplify the expression: 10+−5f+3f−410+-5 f+3 f-410+−5f+3f−4

Studdy Solution

STEP 1

1. The expression involves combining like terms.2. The terms 101010, −5f-5f−5f, 3f3f3f, and −4-4−4 can be simplified by combining constants and like terms involving fff.

STEP 2

1. Identify and combine like terms involving the variable fff.2. Combine the constant terms.

STEP 3

Identify the like terms involving fff in the expression:The terms −5f-5f−5f and 3f3f3f are like terms.

STEP 4

Combine the like terms involving fff:−5f+3f=(−5+3)f=−2f -5f + 3f = (-5 + 3)f = -2f −5f+3f=(−5+3)f=−2f

STEP 5

Identify and combine the constant terms:The constants are 101010 and −4-4−4.10+(−4)=10−4=6 10 + (-4) = 10 - 4 = 6 10+(−4)=10−4=6

STEP 6

Write the simplified expression by combining the results from the previous steps:6−2f 6 - 2f 6−2fThe simplified expression is:6−2f \boxed{6 - 2f} 6−2f​

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QuestionSimplify the expression: $10+-5 f+3 f-4$

1. The expression involves combining like terms.
2. The terms $10$ , $-5f$ , $3f$ , and $-4$ can be simplified by combining constants and like terms involving $f$ .

1. Identify and combine like terms involving the variable $f$ .
2. Combine the constant terms.

Identify the like terms involving $f$ in the expression:
The terms $-5f$ and $3f$ are like terms.

Combine the like terms involving $f$ :
$-5f + 3f = (-5 + 3)f = -2f$

Identify and combine the constant terms:
The constants are $10$ and $-4$ .
$10 + (-4) = 10 - 4 = 6$

Write the simplified expression by combining the results from the previous steps:
$6 - 2f$
The simplified expression is:
$\boxed{6 - 2f}$