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Simplifying 5(-8h + 3) + -5(3h + 2) = 0 Reorder the terms: 5(3 + -8h) + -5(3h + 2) = 0 (3 * 5 + -8h * 5) + -5(3h + 2) = 0 (15 + -40h) + -5(3h + 2) = 0 Reorder the terms: 15 + -40h + -5(2 + 3h) = 0 15 + -40h + (2 * -5 + 3h * -5) = 0 15 + -40h + (-10 + -15h) = 0 Reorder the terms: 15 + -10 + -40h + -15h = 0 Combine like terms: 15 + -10 = 5 5 + -40h + -15h = 0 Combine like terms: -40h + -15h = -55h 5 + -55h = 0 Solving 5 + -55h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -55h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -55h = 0 + -5 -55h = 0 + -5 Combine like terms: 0 + -5 = -5 -55h = -5 Divide each side by '-55'. h = 0.09090909091 Simplifying h = 0.09090909091
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