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Simplifying 6(h + 0.5) + -1 = 4h + -8 Reorder the terms: 6(0.5 + h) + -1 = 4h + -8 (0.5 * 6 + h * 6) + -1 = 4h + -8 (3 + 6h) + -1 = 4h + -8 Reorder the terms: 3 + -1 + 6h = 4h + -8 Combine like terms: 3 + -1 = 2 2 + 6h = 4h + -8 Reorder the terms: 2 + 6h = -8 + 4h Solving 2 + 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. 2 + 6h + -4h = -8 + 4h + -4h Combine like terms: 6h + -4h = 2h 2 + 2h = -8 + 4h + -4h Combine like terms: 4h + -4h = 0 2 + 2h = -8 + 0 2 + 2h = -8 Add '-2' to each side of the equation. 2 + -2 + 2h = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2h = -8 + -2 2h = -8 + -2 Combine like terms: -8 + -2 = -10 2h = -10 Divide each side by '2'. h = -5 Simplifying h = -5
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