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Simplifying 18h + 6(-8h + -17) = -20h + 18 + 20 Reorder the terms: 18h + 6(-17 + -8h) = -20h + 18 + 20 18h + (-17 * 6 + -8h * 6) = -20h + 18 + 20 18h + (-102 + -48h) = -20h + 18 + 20 Reorder the terms: -102 + 18h + -48h = -20h + 18 + 20 Combine like terms: 18h + -48h = -30h -102 + -30h = -20h + 18 + 20 Reorder the terms: -102 + -30h = 18 + 20 + -20h Combine like terms: 18 + 20 = 38 -102 + -30h = 38 + -20h Solving -102 + -30h = 38 + -20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20h' to each side of the equation. -102 + -30h + 20h = 38 + -20h + 20h Combine like terms: -30h + 20h = -10h -102 + -10h = 38 + -20h + 20h Combine like terms: -20h + 20h = 0 -102 + -10h = 38 + 0 -102 + -10h = 38 Add '102' to each side of the equation. -102 + 102 + -10h = 38 + 102 Combine like terms: -102 + 102 = 0 0 + -10h = 38 + 102 -10h = 38 + 102 Combine like terms: 38 + 102 = 140 -10h = 140 Divide each side by '-10'. h = -14 Simplifying h = -14
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