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Simplifying 3(3h + -10) = 2(2h + 5) Reorder the terms: 3(-10 + 3h) = 2(2h + 5) (-10 * 3 + 3h * 3) = 2(2h + 5) (-30 + 9h) = 2(2h + 5) Reorder the terms: -30 + 9h = 2(5 + 2h) -30 + 9h = (5 * 2 + 2h * 2) -30 + 9h = (10 + 4h) Solving -30 + 9h = 10 + 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. -30 + 9h + -4h = 10 + 4h + -4h Combine like terms: 9h + -4h = 5h -30 + 5h = 10 + 4h + -4h Combine like terms: 4h + -4h = 0 -30 + 5h = 10 + 0 -30 + 5h = 10 Add '30' to each side of the equation. -30 + 30 + 5h = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5h = 10 + 30 5h = 10 + 30 Combine like terms: 10 + 30 = 40 5h = 40 Divide each side by '5'. h = 8 Simplifying h = 8
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