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Simplifying 4(h + 8) + 2h + -1 + 2h + -7 = 48 Reorder the terms: 4(8 + h) + 2h + -1 + 2h + -7 = 48 (8 * 4 + h * 4) + 2h + -1 + 2h + -7 = 48 (32 + 4h) + 2h + -1 + 2h + -7 = 48 Reorder the terms: 32 + -1 + -7 + 4h + 2h + 2h = 48 Combine like terms: 32 + -1 = 31 31 + -7 + 4h + 2h + 2h = 48 Combine like terms: 31 + -7 = 24 24 + 4h + 2h + 2h = 48 Combine like terms: 4h + 2h = 6h 24 + 6h + 2h = 48 Combine like terms: 6h + 2h = 8h 24 + 8h = 48 Solving 24 + 8h = 48 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8h = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 8h = 48 + -24 8h = 48 + -24 Combine like terms: 48 + -24 = 24 8h = 24 Divide each side by '8'. h = 3 Simplifying h = 3
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