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Simplifying 5(h + 2) = 13 + 4(2h + -1) Reorder the terms: 5(2 + h) = 13 + 4(2h + -1) (2 * 5 + h * 5) = 13 + 4(2h + -1) (10 + 5h) = 13 + 4(2h + -1) Reorder the terms: 10 + 5h = 13 + 4(-1 + 2h) 10 + 5h = 13 + (-1 * 4 + 2h * 4) 10 + 5h = 13 + (-4 + 8h) Combine like terms: 13 + -4 = 9 10 + 5h = 9 + 8h Solving 10 + 5h = 9 + 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. 10 + 5h + -8h = 9 + 8h + -8h Combine like terms: 5h + -8h = -3h 10 + -3h = 9 + 8h + -8h Combine like terms: 8h + -8h = 0 10 + -3h = 9 + 0 10 + -3h = 9 Add '-10' to each side of the equation. 10 + -10 + -3h = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -3h = 9 + -10 -3h = 9 + -10 Combine like terms: 9 + -10 = -1 -3h = -1 Divide each side by '-3'. h = 0.3333333333 Simplifying h = 0.3333333333
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