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Simplifying 4(h + 1) = 2(5h + 6) Reorder the terms: 4(1 + h) = 2(5h + 6) (1 * 4 + h * 4) = 2(5h + 6) (4 + 4h) = 2(5h + 6) Reorder the terms: 4 + 4h = 2(6 + 5h) 4 + 4h = (6 * 2 + 5h * 2) 4 + 4h = (12 + 10h) Solving 4 + 4h = 12 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. 4 + 4h + -10h = 12 + 10h + -10h Combine like terms: 4h + -10h = -6h 4 + -6h = 12 + 10h + -10h Combine like terms: 10h + -10h = 0 4 + -6h = 12 + 0 4 + -6h = 12 Add '-4' to each side of the equation. 4 + -4 + -6h = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6h = 12 + -4 -6h = 12 + -4 Combine like terms: 12 + -4 = 8 -6h = 8 Divide each side by '-6'. h = -1.333333333 Simplifying h = -1.333333333
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