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Simplifying 2(12h + 6) = 12(6h + -3) Reorder the terms: 2(6 + 12h) = 12(6h + -3) (6 * 2 + 12h * 2) = 12(6h + -3) (12 + 24h) = 12(6h + -3) Reorder the terms: 12 + 24h = 12(-3 + 6h) 12 + 24h = (-3 * 12 + 6h * 12) 12 + 24h = (-36 + 72h) Solving 12 + 24h = -36 + 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. 12 + 24h + -72h = -36 + 72h + -72h Combine like terms: 24h + -72h = -48h 12 + -48h = -36 + 72h + -72h Combine like terms: 72h + -72h = 0 12 + -48h = -36 + 0 12 + -48h = -36 Add '-12' to each side of the equation. 12 + -12 + -48h = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -48h = -36 + -12 -48h = -36 + -12 Combine like terms: -36 + -12 = -48 -48h = -48 Divide each side by '-48'. h = 1 Simplifying h = 1
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