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Simplifying 3(2h + 2) + -2(h + 7) = 2(h + -7) + -2 Reorder the terms: 3(2 + 2h) + -2(h + 7) = 2(h + -7) + -2 (2 * 3 + 2h * 3) + -2(h + 7) = 2(h + -7) + -2 (6 + 6h) + -2(h + 7) = 2(h + -7) + -2 Reorder the terms: 6 + 6h + -2(7 + h) = 2(h + -7) + -2 6 + 6h + (7 * -2 + h * -2) = 2(h + -7) + -2 6 + 6h + (-14 + -2h) = 2(h + -7) + -2 Reorder the terms: 6 + -14 + 6h + -2h = 2(h + -7) + -2 Combine like terms: 6 + -14 = -8 -8 + 6h + -2h = 2(h + -7) + -2 Combine like terms: 6h + -2h = 4h -8 + 4h = 2(h + -7) + -2 Reorder the terms: -8 + 4h = 2(-7 + h) + -2 -8 + 4h = (-7 * 2 + h * 2) + -2 -8 + 4h = (-14 + 2h) + -2 Reorder the terms: -8 + 4h = -14 + -2 + 2h Combine like terms: -14 + -2 = -16 -8 + 4h = -16 + 2h Solving -8 + 4h = -16 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -8 + 4h + -2h = -16 + 2h + -2h Combine like terms: 4h + -2h = 2h -8 + 2h = -16 + 2h + -2h Combine like terms: 2h + -2h = 0 -8 + 2h = -16 + 0 -8 + 2h = -16 Add '8' to each side of the equation. -8 + 8 + 2h = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 2h = -16 + 8 2h = -16 + 8 Combine like terms: -16 + 8 = -8 2h = -8 Divide each side by '2'. h = -4 Simplifying h = -4
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