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Simplifying 5(6h + -3) = 3h + 120 Reorder the terms: 5(-3 + 6h) = 3h + 120 (-3 * 5 + 6h * 5) = 3h + 120 (-15 + 30h) = 3h + 120 Reorder the terms: -15 + 30h = 120 + 3h Solving -15 + 30h = 120 + 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. -15 + 30h + -3h = 120 + 3h + -3h Combine like terms: 30h + -3h = 27h -15 + 27h = 120 + 3h + -3h Combine like terms: 3h + -3h = 0 -15 + 27h = 120 + 0 -15 + 27h = 120 Add '15' to each side of the equation. -15 + 15 + 27h = 120 + 15 Combine like terms: -15 + 15 = 0 0 + 27h = 120 + 15 27h = 120 + 15 Combine like terms: 120 + 15 = 135 27h = 135 Divide each side by '27'. h = 5 Simplifying h = 5
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