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Simplifying 5(h + -12) + -24 = 3(h + 2) Reorder the terms: 5(-12 + h) + -24 = 3(h + 2) (-12 * 5 + h * 5) + -24 = 3(h + 2) (-60 + 5h) + -24 = 3(h + 2) Reorder the terms: -60 + -24 + 5h = 3(h + 2) Combine like terms: -60 + -24 = -84 -84 + 5h = 3(h + 2) Reorder the terms: -84 + 5h = 3(2 + h) -84 + 5h = (2 * 3 + h * 3) -84 + 5h = (6 + 3h) Solving -84 + 5h = 6 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. -84 + 5h + -3h = 6 + 3h + -3h Combine like terms: 5h + -3h = 2h -84 + 2h = 6 + 3h + -3h Combine like terms: 3h + -3h = 0 -84 + 2h = 6 + 0 -84 + 2h = 6 Add '84' to each side of the equation. -84 + 84 + 2h = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2h = 6 + 84 2h = 6 + 84 Combine like terms: 6 + 84 = 90 2h = 90 Divide each side by '2'. h = 45 Simplifying h = 45
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