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Simplifying 3(h + 5) + -11 = h + 5(2h + 4) Reorder the terms: 3(5 + h) + -11 = h + 5(2h + 4) (5 * 3 + h * 3) + -11 = h + 5(2h + 4) (15 + 3h) + -11 = h + 5(2h + 4) Reorder the terms: 15 + -11 + 3h = h + 5(2h + 4) Combine like terms: 15 + -11 = 4 4 + 3h = h + 5(2h + 4) Reorder the terms: 4 + 3h = h + 5(4 + 2h) 4 + 3h = h + (4 * 5 + 2h * 5) 4 + 3h = h + (20 + 10h) Reorder the terms: 4 + 3h = 20 + h + 10h Combine like terms: h + 10h = 11h 4 + 3h = 20 + 11h Solving 4 + 3h = 20 + 11h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11h' to each side of the equation. 4 + 3h + -11h = 20 + 11h + -11h Combine like terms: 3h + -11h = -8h 4 + -8h = 20 + 11h + -11h Combine like terms: 11h + -11h = 0 4 + -8h = 20 + 0 4 + -8h = 20 Add '-4' to each side of the equation. 4 + -4 + -8h = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -8h = 20 + -4 -8h = 20 + -4 Combine like terms: 20 + -4 = 16 -8h = 16 Divide each side by '-8'. h = -2 Simplifying h = -2
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