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Simplifying 5 = -1(1 + -2h) + -3(h + -3) 5 = (1 * -1 + -2h * -1) + -3(h + -3) 5 = (-1 + 2h) + -3(h + -3) Reorder the terms: 5 = -1 + 2h + -3(-3 + h) 5 = -1 + 2h + (-3 * -3 + h * -3) 5 = -1 + 2h + (9 + -3h) Reorder the terms: 5 = -1 + 9 + 2h + -3h Combine like terms: -1 + 9 = 8 5 = 8 + 2h + -3h Combine like terms: 2h + -3h = -1h 5 = 8 + -1h Solving 5 = 8 + -1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add 'h' to each side of the equation. 5 + h = 8 + -1h + h Combine like terms: -1h + h = 0 5 + h = 8 + 0 5 + h = 8 Add '-5' to each side of the equation. 5 + -5 + h = 8 + -5 Combine like terms: 5 + -5 = 0 0 + h = 8 + -5 h = 8 + -5 Combine like terms: 8 + -5 = 3 h = 3 Simplifying h = 3
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