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Simplifying 12(2h + -7) = 24(5 + 3h) Reorder the terms: 12(-7 + 2h) = 24(5 + 3h) (-7 * 12 + 2h * 12) = 24(5 + 3h) (-84 + 24h) = 24(5 + 3h) -84 + 24h = (5 * 24 + 3h * 24) -84 + 24h = (120 + 72h) Solving -84 + 24h = 120 + 72h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-72h' to each side of the equation. -84 + 24h + -72h = 120 + 72h + -72h Combine like terms: 24h + -72h = -48h -84 + -48h = 120 + 72h + -72h Combine like terms: 72h + -72h = 0 -84 + -48h = 120 + 0 -84 + -48h = 120 Add '84' to each side of the equation. -84 + 84 + -48h = 120 + 84 Combine like terms: -84 + 84 = 0 0 + -48h = 120 + 84 -48h = 120 + 84 Combine like terms: 120 + 84 = 204 -48h = 204 Divide each side by '-48'. h = -4.25 Simplifying h = -4.25
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