Question

Which value of g makes 26 = 7(g-9) + 12

Answer 1

Answer: 11

Explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

26-(7*(g-9)+12)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

26 - (7 • (g - 9) + 12) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

77 - 7g = -7 • (g - 11)

Equation at the end of step 3 :

-7 • (g - 11) = 0

Step 4 :

Equations which are never true :

4.1 Solve : -7 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : g-11 = 0

Add 11 to both sides of the equation :

g = 11

One solution was found :

g = 11

Answer 2

Answer: g=11

Explanation:

>7(g-9)+12=26

>7(g-9)=14(subtract 12 from both sides)

>g-9=2(divide both sides by 7)

g=11(add 9 to both sides