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Simplifying 2h + 3(3h + 4) = 8h + 24 Reorder the terms: 2h + 3(4 + 3h) = 8h + 24 2h + (4 * 3 + 3h * 3) = 8h + 24 2h + (12 + 9h) = 8h + 24 Reorder the terms: 12 + 2h + 9h = 8h + 24 Combine like terms: 2h + 9h = 11h 12 + 11h = 8h + 24 Reorder the terms: 12 + 11h = 24 + 8h Solving 12 + 11h = 24 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 12 + 11h + -8h = 24 + 8h + -8h Combine like terms: 11h + -8h = 3h 12 + 3h = 24 + 8h + -8h Combine like terms: 8h + -8h = 0 12 + 3h = 24 + 0 12 + 3h = 24 Add '-12' to each side of the equation. 12 + -12 + 3h = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3h = 24 + -12 3h = 24 + -12 Combine like terms: 24 + -12 = 12 3h = 12 Divide each side by '3'. h = 4 Simplifying h = 4
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