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Simplifying 4 + -5(h + -2) = 2h + 3(h + 3) Reorder the terms: 4 + -5(-2 + h) = 2h + 3(h + 3) 4 + (-2 * -5 + h * -5) = 2h + 3(h + 3) 4 + (10 + -5h) = 2h + 3(h + 3) Combine like terms: 4 + 10 = 14 14 + -5h = 2h + 3(h + 3) Reorder the terms: 14 + -5h = 2h + 3(3 + h) 14 + -5h = 2h + (3 * 3 + h * 3) 14 + -5h = 2h + (9 + 3h) Reorder the terms: 14 + -5h = 9 + 2h + 3h Combine like terms: 2h + 3h = 5h 14 + -5h = 9 + 5h Solving 14 + -5h = 9 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 14 + -5h + -5h = 9 + 5h + -5h Combine like terms: -5h + -5h = -10h 14 + -10h = 9 + 5h + -5h Combine like terms: 5h + -5h = 0 14 + -10h = 9 + 0 14 + -10h = 9 Add '-14' to each side of the equation. 14 + -14 + -10h = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -10h = 9 + -14 -10h = 9 + -14 Combine like terms: 9 + -14 = -5 -10h = -5 Divide each side by '-10'. h = 0.5 Simplifying h = 0.5
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