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Simplifying 5(h + 2) + -2h = 8(h + 4) Reorder the terms: 5(2 + h) + -2h = 8(h + 4) (2 * 5 + h * 5) + -2h = 8(h + 4) (10 + 5h) + -2h = 8(h + 4) Combine like terms: 5h + -2h = 3h 10 + 3h = 8(h + 4) Reorder the terms: 10 + 3h = 8(4 + h) 10 + 3h = (4 * 8 + h * 8) 10 + 3h = (32 + 8h) Solving 10 + 3h = 32 + 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 + 3h + -8h = 32 + 8h + -8h Combine like terms: 3h + -8h = -5h 10 + -5h = 32 + 8h + -8h Combine like terms: 8h + -8h = 0 10 + -5h = 32 + 0 10 + -5h = 32 Add '-10' to each side of the equation. 10 + -10 + -5h = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -5h = 32 + -10 -5h = 32 + -10 Combine like terms: 32 + -10 = 22 -5h = 22 Divide each side by '-5'. h = -4.4 Simplifying h = -4.4
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