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Simplifying 3(5 + -1h) + -2(h + -2) = -1 (5 * 3 + -1h * 3) + -2(h + -2) = -1 (15 + -3h) + -2(h + -2) = -1 Reorder the terms: 15 + -3h + -2(-2 + h) = -1 15 + -3h + (-2 * -2 + h * -2) = -1 15 + -3h + (4 + -2h) = -1 Reorder the terms: 15 + 4 + -3h + -2h = -1 Combine like terms: 15 + 4 = 19 19 + -3h + -2h = -1 Combine like terms: -3h + -2h = -5h 19 + -5h = -1 Solving 19 + -5h = -1 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5h = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -5h = -1 + -19 -5h = -1 + -19 Combine like terms: -1 + -19 = -20 -5h = -20 Divide each side by '-5'. h = 4 Simplifying h = 4
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