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Mathematics
Josiah Chan
16 April, 17:08
Solve for g
4 (g-1) + 2 (g+5) = 36
+1
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2
)
Joyce Wilcox
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
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Dulce Nolan
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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