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Simplifying 3(5 + 2h) = 7(1 + -2h) (5 * 3 + 2h * 3) = 7(1 + -2h) (15 + 6h) = 7(1 + -2h) 15 + 6h = (1 * 7 + -2h * 7) 15 + 6h = (7 + -14h) Solving 15 + 6h = 7 + -14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '14h' to each side of the equation. 15 + 6h + 14h = 7 + -14h + 14h Combine like terms: 6h + 14h = 20h 15 + 20h = 7 + -14h + 14h Combine like terms: -14h + 14h = 0 15 + 20h = 7 + 0 15 + 20h = 7 Add '-15' to each side of the equation. 15 + -15 + 20h = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 20h = 7 + -15 20h = 7 + -15 Combine like terms: 7 + -15 = -8 20h = -8 Divide each side by '20'. h = -0.4 Simplifying h = -0.4
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