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Simplifying 5(h + 8) + -2(h + -3) = 9h + 3(h + 6) Reorder the terms: 5(8 + h) + -2(h + -3) = 9h + 3(h + 6) (8 * 5 + h * 5) + -2(h + -3) = 9h + 3(h + 6) (40 + 5h) + -2(h + -3) = 9h + 3(h + 6) Reorder the terms: 40 + 5h + -2(-3 + h) = 9h + 3(h + 6) 40 + 5h + (-3 * -2 + h * -2) = 9h + 3(h + 6) 40 + 5h + (6 + -2h) = 9h + 3(h + 6) Reorder the terms: 40 + 6 + 5h + -2h = 9h + 3(h + 6) Combine like terms: 40 + 6 = 46 46 + 5h + -2h = 9h + 3(h + 6) Combine like terms: 5h + -2h = 3h 46 + 3h = 9h + 3(h + 6) Reorder the terms: 46 + 3h = 9h + 3(6 + h) 46 + 3h = 9h + (6 * 3 + h * 3) 46 + 3h = 9h + (18 + 3h) Reorder the terms: 46 + 3h = 18 + 9h + 3h Combine like terms: 9h + 3h = 12h 46 + 3h = 18 + 12h Solving 46 + 3h = 18 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 46 + 3h + -12h = 18 + 12h + -12h Combine like terms: 3h + -12h = -9h 46 + -9h = 18 + 12h + -12h Combine like terms: 12h + -12h = 0 46 + -9h = 18 + 0 46 + -9h = 18 Add '-46' to each side of the equation. 46 + -46 + -9h = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -9h = 18 + -46 -9h = 18 + -46 Combine like terms: 18 + -46 = -28 -9h = -28 Divide each side by '-9'. h = 3.111111111 Simplifying h = 3.111111111
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