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Simplifying 5(h + -9) + 6 = 8h Reorder the terms: 5(-9 + h) + 6 = 8h (-9 * 5 + h * 5) + 6 = 8h (-45 + 5h) + 6 = 8h Reorder the terms: -45 + 6 + 5h = 8h Combine like terms: -45 + 6 = -39 -39 + 5h = 8h Solving -39 + 5h = 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. -39 + 5h + -8h = 8h + -8h Combine like terms: 5h + -8h = -3h -39 + -3h = 8h + -8h Combine like terms: 8h + -8h = 0 -39 + -3h = 0 Add '39' to each side of the equation. -39 + 39 + -3h = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -3h = 0 + 39 -3h = 0 + 39 Combine like terms: 0 + 39 = 39 -3h = 39 Divide each side by '-3'. h = -13 Simplifying h = -13
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