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

Answer: 11

Step-by-step 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: g=11

Step-by-step 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