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Simplifying 5(-1h + 14) = 4(-5h + -5) Reorder the terms: 5(14 + -1h) = 4(-5h + -5) (14 * 5 + -1h * 5) = 4(-5h + -5) (70 + -5h) = 4(-5h + -5) Reorder the terms: 70 + -5h = 4(-5 + -5h) 70 + -5h = (-5 * 4 + -5h * 4) 70 + -5h = (-20 + -20h) Solving 70 + -5h = -20 + -20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20h' to each side of the equation. 70 + -5h + 20h = -20 + -20h + 20h Combine like terms: -5h + 20h = 15h 70 + 15h = -20 + -20h + 20h Combine like terms: -20h + 20h = 0 70 + 15h = -20 + 0 70 + 15h = -20 Add '-70' to each side of the equation. 70 + -70 + 15h = -20 + -70 Combine like terms: 70 + -70 = 0 0 + 15h = -20 + -70 15h = -20 + -70 Combine like terms: -20 + -70 = -90 15h = -90 Divide each side by '15'. h = -6 Simplifying h = -6
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