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Simplifying 5(2h + -9) = 3(3h + 7) Reorder the terms: 5(-9 + 2h) = 3(3h + 7) (-9 * 5 + 2h * 5) = 3(3h + 7) (-45 + 10h) = 3(3h + 7) Reorder the terms: -45 + 10h = 3(7 + 3h) -45 + 10h = (7 * 3 + 3h * 3) -45 + 10h = (21 + 9h) Solving -45 + 10h = 21 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. -45 + 10h + -9h = 21 + 9h + -9h Combine like terms: 10h + -9h = 1h -45 + 1h = 21 + 9h + -9h Combine like terms: 9h + -9h = 0 -45 + 1h = 21 + 0 -45 + 1h = 21 Add '45' to each side of the equation. -45 + 45 + 1h = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 1h = 21 + 45 1h = 21 + 45 Combine like terms: 21 + 45 = 66 1h = 66 Divide each side by '1'. h = 66 Simplifying h = 66
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