Solve for g

4 (g-1) + 2 (g+5) = 36

g = 5

Step-by-step explanation:

Solve for g:

4 (g - 1) + 2 (g + 5) = 36

4 (g - 1) = 4 g - 4:

4 g - 4 + 2 (g + 5) = 36

2 (g + 5) = 2 g + 10:

2 g + 10 + 4 g - 4 = 36

Grouping like terms, 4 g + 2 g - 4 + 10 = (4 g + 2 g) + (-4 + 10):

(4 g + 2 g) + (-4 + 10) = 36

4 g + 2 g = 6 g:

6 g + (-4 + 10) = 36

10 - 4 = 6:

6 g + 6 = 36

Subtract 6 from both sides:

6 g + (6 - 6) = 36 - 6

6 - 6 = 0:

6 g = 36 - 6

36 - 6 = 30:

6 g = 30

Divide both sides of 6 g = 30 by 6:

(6 g) / 6 = 30/6

6/6 = 1:

g = 30/6

The gcd of 30 and 6 is 6, so 30/6 = (6*5) / (6*1) = 6/6*5 = 5:

Answer: g = 5

g = 5

Step-by-step explanation:

given

4 (g - 1) + 2 (g + 5) = 36 ← distribute left side and simplify

4g - 4 + 2g + 10 = 36

6g + 6 = 36 (subtract 6 from both sides)

6g = 30 (divide both sides by 6)

g = 5