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Simplifying 3(h + 12) = 8 + -4h Reorder the terms: 3(12 + h) = 8 + -4h (12 * 3 + h * 3) = 8 + -4h (36 + 3h) = 8 + -4h Solving 36 + 3h = 8 + -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. 36 + 3h + 4h = 8 + -4h + 4h Combine like terms: 3h + 4h = 7h 36 + 7h = 8 + -4h + 4h Combine like terms: -4h + 4h = 0 36 + 7h = 8 + 0 36 + 7h = 8 Add '-36' to each side of the equation. 36 + -36 + 7h = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7h = 8 + -36 7h = 8 + -36 Combine like terms: 8 + -36 = -28 7h = -28 Divide each side by '7'. h = -4 Simplifying h = -4
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