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Simplifying 3(-1h + 3) = 4(12 + -1h) Reorder the terms: 3(3 + -1h) = 4(12 + -1h) (3 * 3 + -1h * 3) = 4(12 + -1h) (9 + -3h) = 4(12 + -1h) 9 + -3h = (12 * 4 + -1h * 4) 9 + -3h = (48 + -4h) Solving 9 + -3h = 48 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. 9 + -3h + 4h = 48 + -4h + 4h Combine like terms: -3h + 4h = 1h 9 + 1h = 48 + -4h + 4h Combine like terms: -4h + 4h = 0 9 + 1h = 48 + 0 9 + 1h = 48 Add '-9' to each side of the equation. 9 + -9 + 1h = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 1h = 48 + -9 1h = 48 + -9 Combine like terms: 48 + -9 = 39 1h = 39 Divide each side by '1'. h = 39 Simplifying h = 39
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