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Simplifying 13 + -4(5h + 1) = 3(7 + -5h) + -15 Reorder the terms: 13 + -4(1 + 5h) = 3(7 + -5h) + -15 13 + (1 * -4 + 5h * -4) = 3(7 + -5h) + -15 13 + (-4 + -20h) = 3(7 + -5h) + -15 Combine like terms: 13 + -4 = 9 9 + -20h = 3(7 + -5h) + -15 9 + -20h = (7 * 3 + -5h * 3) + -15 9 + -20h = (21 + -15h) + -15 Reorder the terms: 9 + -20h = 21 + -15 + -15h Combine like terms: 21 + -15 = 6 9 + -20h = 6 + -15h Solving 9 + -20h = 6 + -15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '15h' to each side of the equation. 9 + -20h + 15h = 6 + -15h + 15h Combine like terms: -20h + 15h = -5h 9 + -5h = 6 + -15h + 15h Combine like terms: -15h + 15h = 0 9 + -5h = 6 + 0 9 + -5h = 6 Add '-9' to each side of the equation. 9 + -9 + -5h = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -5h = 6 + -9 -5h = 6 + -9 Combine like terms: 6 + -9 = -3 -5h = -3 Divide each side by '-5'. h = 0.6 Simplifying h = 0.6
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