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Simplifying -2 + -5(h + -2) = 2(h + -5) + -1h Reorder the terms: -2 + -5(-2 + h) = 2(h + -5) + -1h -2 + (-2 * -5 + h * -5) = 2(h + -5) + -1h -2 + (10 + -5h) = 2(h + -5) + -1h Combine like terms: -2 + 10 = 8 8 + -5h = 2(h + -5) + -1h Reorder the terms: 8 + -5h = 2(-5 + h) + -1h 8 + -5h = (-5 * 2 + h * 2) + -1h 8 + -5h = (-10 + 2h) + -1h Combine like terms: 2h + -1h = 1h 8 + -5h = -10 + 1h Solving 8 + -5h = -10 + 1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 8 + -5h + -1h = -10 + 1h + -1h Combine like terms: -5h + -1h = -6h 8 + -6h = -10 + 1h + -1h Combine like terms: 1h + -1h = 0 8 + -6h = -10 + 0 8 + -6h = -10 Add '-8' to each side of the equation. 8 + -8 + -6h = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6h = -10 + -8 -6h = -10 + -8 Combine like terms: -10 + -8 = -18 -6h = -18 Divide each side by '-6'. h = 3 Simplifying h = 3
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