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Simplifying -5(h + 4) = 8(3 + -1h) Reorder the terms: -5(4 + h) = 8(3 + -1h) (4 * -5 + h * -5) = 8(3 + -1h) (-20 + -5h) = 8(3 + -1h) -20 + -5h = (3 * 8 + -1h * 8) -20 + -5h = (24 + -8h) Solving -20 + -5h = 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. -20 + -5h + 8h = 24 + -8h + 8h Combine like terms: -5h + 8h = 3h -20 + 3h = 24 + -8h + 8h Combine like terms: -8h + 8h = 0 -20 + 3h = 24 + 0 -20 + 3h = 24 Add '20' to each side of the equation. -20 + 20 + 3h = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 3h = 24 + 20 3h = 24 + 20 Combine like terms: 24 + 20 = 44 3h = 44 Divide each side by '3'. h = 14.66666667 Simplifying h = 14.66666667
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