Question

solve the equation and check your solution. 5(g + 8) - 7 = 117 - g g =

Explanation:

Step1: Expand left-hand side

$5g + 40 - 7 = 117 - g$

Step2: Simplify constants

$5g + 33 = 117 - g$

Step3: Add $g$ to both sides

$5g + g + 33 = 117$
$6g + 33 = 117$

Step4: Subtract 33 from both sides

$6g = 117 - 33$
$6g = 84$

Step5: Solve for $g$

$g = \frac{84}{6}$
$g = 15$

Step6: Verify solution

Left-hand side: $5(15+8)-7 = 5(23)-7 = 115-7 = 108$
Right-hand side: $117-15 = 108$
Both sides are equal, so $g=15$ is valid.

Answer:

$g = 15$