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Simplifying -6(-9 + 3h) = 3(-5h + 20) (-9 * -6 + 3h * -6) = 3(-5h + 20) (54 + -18h) = 3(-5h + 20) Reorder the terms: 54 + -18h = 3(20 + -5h) 54 + -18h = (20 * 3 + -5h * 3) 54 + -18h = (60 + -15h) Solving 54 + -18h = 60 + -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. 54 + -18h + 15h = 60 + -15h + 15h Combine like terms: -18h + 15h = -3h 54 + -3h = 60 + -15h + 15h Combine like terms: -15h + 15h = 0 54 + -3h = 60 + 0 54 + -3h = 60 Add '-54' to each side of the equation. 54 + -54 + -3h = 60 + -54 Combine like terms: 54 + -54 = 0 0 + -3h = 60 + -54 -3h = 60 + -54 Combine like terms: 60 + -54 = 6 -3h = 6 Divide each side by '-3'. h = -2 Simplifying h = -2
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