QuestionSolve the equation: $3(4g + 6) = 2(6g + 9)$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3(4 g+6)=(6 g+9)$ . We are solving for the variable $g$

STEP 2

Start by expanding both sides of the equation. $(4 g+6) =12g +18$ $2(6 g+9) =12g +18$

STEP 3

Now, we have the equation $12g +18 =12g +18$

STEP 4

Subtract $12g$ from both sides of the equation to isolate the variable $g$ on one side.
$12g +18 -12g =12g +18 -12g$

STEP 5

This simplifies to $18 =18$

STEP 6

Since both sides of the equation are equal, we can conclude that the equation is true for all values of $g$ .Therefore, $g$ can be any real number.

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QuestionSolve the equation: $3(4g + 6) = 2(6g + 9)$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3(4 g+6)=(6 g+9)$ . We are solving for the variable $g$

STEP 2

Start by expanding both sides of the equation. $(4 g+6) =12g +18$ $2(6 g+9) =12g +18$

STEP 3

Now, we have the equation $12g +18 =12g +18$

STEP 4

Subtract $12g$ from both sides of the equation to isolate the variable $g$ on one side.
$12g +18 -12g =12g +18 -12g$

STEP 5

This simplifies to $18 =18$

STEP 6

Since both sides of the equation are equal, we can conclude that the equation is true for all values of $g$ .Therefore, $g$ can be any real number.

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QuestionSolve the equation: 3(4g+6)=2(6g+9)3(4g + 6) = 2(6g + 9)3(4g+6)=2(6g+9).

Studdy Solution

STEP 1

Assumptions1. The given equation is 3(4g+6)=(6g+9)3(4 g+6)=(6 g+9)3(4g+6)=(6g+9). We are solving for the variable ggg

STEP 2

Start by expanding both sides of the equation.(4g+6)=12g+18(4 g+6) =12g +18(4g+6)=12g+182(6g+9)=12g+182(6 g+9) =12g +182(6g+9)=12g+18

STEP 3

Now, we have the equation 12g+18=12g+1812g +18 =12g +1812g+18=12g+18

STEP 4

Subtract 12g12g12g from both sides of the equation to isolate the variable ggg on one side.12g+18−12g=12g+18−12g12g +18 -12g =12g +18 -12g12g+18−12g=12g+18−12g

STEP 5

This simplifies to 18=1818 =1818=18

STEP 6

Since both sides of the equation are equal, we can conclude that the equation is true for all values of ggg.Therefore, ggg can be any real number.

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QuestionSolve the equation: $3(4g + 6) = 2(6g + 9)$ .

Assumptions1. The given equation is $3(4 g+6)=(6 g+9)$ . We are solving for the variable $g$

Start by expanding both sides of the equation. $(4 g+6) =12g +18$ $2(6 g+9) =12g +18$

Now, we have the equation $12g +18 =12g +18$

Subtract $12g$ from both sides of the equation to isolate the variable $g$ on one side.
$12g +18 -12g =12g +18 -12g$

This simplifies to $18 =18$

Since both sides of the equation are equal, we can conclude that the equation is true for all values of $g$ .Therefore, $g$ can be any real number.