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Simplifying 5(-8h + 7) = -10 + 3h + 5 Reorder the terms: 5(7 + -8h) = -10 + 3h + 5 (7 * 5 + -8h * 5) = -10 + 3h + 5 (35 + -40h) = -10 + 3h + 5 Reorder the terms: 35 + -40h = -10 + 5 + 3h Combine like terms: -10 + 5 = -5 35 + -40h = -5 + 3h Solving 35 + -40h = -5 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 35 + -40h + -3h = -5 + 3h + -3h Combine like terms: -40h + -3h = -43h 35 + -43h = -5 + 3h + -3h Combine like terms: 3h + -3h = 0 35 + -43h = -5 + 0 35 + -43h = -5 Add '-35' to each side of the equation. 35 + -35 + -43h = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -43h = -5 + -35 -43h = -5 + -35 Combine like terms: -5 + -35 = -40 -43h = -40 Divide each side by '-43'. h = 0.9302325581 Simplifying h = 0.9302325581
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