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Simplifying 3(2h + 2) + -2(h + 8) = 2(h + -8) + -2 Reorder the terms: 3(2 + 2h) + -2(h + 8) = 2(h + -8) + -2 (2 * 3 + 2h * 3) + -2(h + 8) = 2(h + -8) + -2 (6 + 6h) + -2(h + 8) = 2(h + -8) + -2 Reorder the terms: 6 + 6h + -2(8 + h) = 2(h + -8) + -2 6 + 6h + (8 * -2 + h * -2) = 2(h + -8) + -2 6 + 6h + (-16 + -2h) = 2(h + -8) + -2 Reorder the terms: 6 + -16 + 6h + -2h = 2(h + -8) + -2 Combine like terms: 6 + -16 = -10 -10 + 6h + -2h = 2(h + -8) + -2 Combine like terms: 6h + -2h = 4h -10 + 4h = 2(h + -8) + -2 Reorder the terms: -10 + 4h = 2(-8 + h) + -2 -10 + 4h = (-8 * 2 + h * 2) + -2 -10 + 4h = (-16 + 2h) + -2 Reorder the terms: -10 + 4h = -16 + -2 + 2h Combine like terms: -16 + -2 = -18 -10 + 4h = -18 + 2h Solving -10 + 4h = -18 + 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. -10 + 4h + -2h = -18 + 2h + -2h Combine like terms: 4h + -2h = 2h -10 + 2h = -18 + 2h + -2h Combine like terms: 2h + -2h = 0 -10 + 2h = -18 + 0 -10 + 2h = -18 Add '10' to each side of the equation. -10 + 10 + 2h = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 2h = -18 + 10 2h = -18 + 10 Combine like terms: -18 + 10 = -8 2h = -8 Divide each side by '2'. h = -4 Simplifying h = -4
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