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Simplifying 3(3h + -5) = 4(2 + -1h) Reorder the terms: 3(-5 + 3h) = 4(2 + -1h) (-5 * 3 + 3h * 3) = 4(2 + -1h) (-15 + 9h) = 4(2 + -1h) -15 + 9h = (2 * 4 + -1h * 4) -15 + 9h = (8 + -4h) Solving -15 + 9h = 8 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. -15 + 9h + 4h = 8 + -4h + 4h Combine like terms: 9h + 4h = 13h -15 + 13h = 8 + -4h + 4h Combine like terms: -4h + 4h = 0 -15 + 13h = 8 + 0 -15 + 13h = 8 Add '15' to each side of the equation. -15 + 15 + 13h = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 13h = 8 + 15 13h = 8 + 15 Combine like terms: 8 + 15 = 23 13h = 23 Divide each side by '13'. h = 1.769230769 Simplifying h = 1.769230769
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