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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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