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16 April, 17:08

Solve for g

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

+1
Answers (2)
  1. 16 April, 19:58
    0
    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
  2. 16 April, 20:34
    0
    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
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