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Simplifying 3(3h + -5) = 3(2h + 4) Reorder the terms: 3(-5 + 3h) = 3(2h + 4) (-5 * 3 + 3h * 3) = 3(2h + 4) (-15 + 9h) = 3(2h + 4) Reorder the terms: -15 + 9h = 3(4 + 2h) -15 + 9h = (4 * 3 + 2h * 3) -15 + 9h = (12 + 6h) Solving -15 + 9h = 12 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. -15 + 9h + -6h = 12 + 6h + -6h Combine like terms: 9h + -6h = 3h -15 + 3h = 12 + 6h + -6h Combine like terms: 6h + -6h = 0 -15 + 3h = 12 + 0 -15 + 3h = 12 Add '15' to each side of the equation. -15 + 15 + 3h = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3h = 12 + 15 3h = 12 + 15 Combine like terms: 12 + 15 = 27 3h = 27 Divide each side by '3'. h = 9 Simplifying h = 9
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