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Simplifying -1(3h + -15) = 6(2h + 5) Reorder the terms: -1(-15 + 3h) = 6(2h + 5) (-15 * -1 + 3h * -1) = 6(2h + 5) (15 + -3h) = 6(2h + 5) Reorder the terms: 15 + -3h = 6(5 + 2h) 15 + -3h = (5 * 6 + 2h * 6) 15 + -3h = (30 + 12h) Solving 15 + -3h = 30 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 15 + -3h + -12h = 30 + 12h + -12h Combine like terms: -3h + -12h = -15h 15 + -15h = 30 + 12h + -12h Combine like terms: 12h + -12h = 0 15 + -15h = 30 + 0 15 + -15h = 30 Add '-15' to each side of the equation. 15 + -15 + -15h = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -15h = 30 + -15 -15h = 30 + -15 Combine like terms: 30 + -15 = 15 -15h = 15 Divide each side by '-15'. h = -1 Simplifying h = -1
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