2(5h+2)-2G=3(2h+3)+7

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Solution for 2(5h+2)-2G=3(2h+3)+7 equation:


Simplifying
2(5h + 2) + -2G = 3(2h + 3) + 7

Reorder the terms:
2(2 + 5h) + -2G = 3(2h + 3) + 7
(2 * 2 + 5h * 2) + -2G = 3(2h + 3) + 7
(4 + 10h) + -2G = 3(2h + 3) + 7

Reorder the terms:
4 + -2G + 10h = 3(2h + 3) + 7

Reorder the terms:
4 + -2G + 10h = 3(3 + 2h) + 7
4 + -2G + 10h = (3 * 3 + 2h * 3) + 7
4 + -2G + 10h = (9 + 6h) + 7

Reorder the terms:
4 + -2G + 10h = 9 + 7 + 6h

Combine like terms: 9 + 7 = 16
4 + -2G + 10h = 16 + 6h

Solving
4 + -2G + 10h = 16 + 6h

Solving for variable 'G'.

Move all terms containing G to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -2G + -4 + 10h = 16 + -4 + 6h

Reorder the terms:
4 + -4 + -2G + 10h = 16 + -4 + 6h

Combine like terms: 4 + -4 = 0
0 + -2G + 10h = 16 + -4 + 6h
-2G + 10h = 16 + -4 + 6h

Combine like terms: 16 + -4 = 12
-2G + 10h = 12 + 6h

Add '-10h' to each side of the equation.
-2G + 10h + -10h = 12 + 6h + -10h

Combine like terms: 10h + -10h = 0
-2G + 0 = 12 + 6h + -10h
-2G = 12 + 6h + -10h

Combine like terms: 6h + -10h = -4h
-2G = 12 + -4h

Divide each side by '-2'.
G = -6 + 2h

Simplifying
G = -6 + 2h

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