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Simplifying 5(2h + -3) = 7h + 9 Reorder the terms: 5(-3 + 2h) = 7h + 9 (-3 * 5 + 2h * 5) = 7h + 9 (-15 + 10h) = 7h + 9 Reorder the terms: -15 + 10h = 9 + 7h Solving -15 + 10h = 9 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. -15 + 10h + -7h = 9 + 7h + -7h Combine like terms: 10h + -7h = 3h -15 + 3h = 9 + 7h + -7h Combine like terms: 7h + -7h = 0 -15 + 3h = 9 + 0 -15 + 3h = 9 Add '15' to each side of the equation. -15 + 15 + 3h = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 3h = 9 + 15 3h = 9 + 15 Combine like terms: 9 + 15 = 24 3h = 24 Divide each side by '3'. h = 8 Simplifying h = 8
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