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Simplifying 4(6h + -9) = 31 + -5h Reorder the terms: 4(-9 + 6h) = 31 + -5h (-9 * 4 + 6h * 4) = 31 + -5h (-36 + 24h) = 31 + -5h Solving -36 + 24h = 31 + -5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '5h' to each side of the equation. -36 + 24h + 5h = 31 + -5h + 5h Combine like terms: 24h + 5h = 29h -36 + 29h = 31 + -5h + 5h Combine like terms: -5h + 5h = 0 -36 + 29h = 31 + 0 -36 + 29h = 31 Add '36' to each side of the equation. -36 + 36 + 29h = 31 + 36 Combine like terms: -36 + 36 = 0 0 + 29h = 31 + 36 29h = 31 + 36 Combine like terms: 31 + 36 = 67 29h = 67 Divide each side by '29'. h = 2.310344828 Simplifying h = 2.310344828
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