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Simplifying 5(h + 3) + 2(h + -2) = 11 + -3(12 + -5h) Reorder the terms: 5(3 + h) + 2(h + -2) = 11 + -3(12 + -5h) (3 * 5 + h * 5) + 2(h + -2) = 11 + -3(12 + -5h) (15 + 5h) + 2(h + -2) = 11 + -3(12 + -5h) Reorder the terms: 15 + 5h + 2(-2 + h) = 11 + -3(12 + -5h) 15 + 5h + (-2 * 2 + h * 2) = 11 + -3(12 + -5h) 15 + 5h + (-4 + 2h) = 11 + -3(12 + -5h) Reorder the terms: 15 + -4 + 5h + 2h = 11 + -3(12 + -5h) Combine like terms: 15 + -4 = 11 11 + 5h + 2h = 11 + -3(12 + -5h) Combine like terms: 5h + 2h = 7h 11 + 7h = 11 + -3(12 + -5h) 11 + 7h = 11 + (12 * -3 + -5h * -3) 11 + 7h = 11 + (-36 + 15h) Combine like terms: 11 + -36 = -25 11 + 7h = -25 + 15h Solving 11 + 7h = -25 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. 11 + 7h + -15h = -25 + 15h + -15h Combine like terms: 7h + -15h = -8h 11 + -8h = -25 + 15h + -15h Combine like terms: 15h + -15h = 0 11 + -8h = -25 + 0 11 + -8h = -25 Add '-11' to each side of the equation. 11 + -11 + -8h = -25 + -11 Combine like terms: 11 + -11 = 0 0 + -8h = -25 + -11 -8h = -25 + -11 Combine like terms: -25 + -11 = -36 -8h = -36 Divide each side by '-8'. h = 4.5 Simplifying h = 4.5
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