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Simplifying 6(h + 1.5) + -1 = 4h + -8 Reorder the terms: 6(1.5 + h) + -1 = 4h + -8 (1.5 * 6 + h * 6) + -1 = 4h + -8 (9 + 6h) + -1 = 4h + -8 Reorder the terms: 9 + -1 + 6h = 4h + -8 Combine like terms: 9 + -1 = 8 8 + 6h = 4h + -8 Reorder the terms: 8 + 6h = -8 + 4h Solving 8 + 6h = -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. 8 + 6h + -4h = -8 + 4h + -4h Combine like terms: 6h + -4h = 2h 8 + 2h = -8 + 4h + -4h Combine like terms: 4h + -4h = 0 8 + 2h = -8 + 0 8 + 2h = -8 Add '-8' to each side of the equation. 8 + -8 + 2h = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 2h = -8 + -8 2h = -8 + -8 Combine like terms: -8 + -8 = -16 2h = -16 Divide each side by '2'. h = -8 Simplifying h = -8
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