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Simplifying -9h + -1(5h + -4) = -2h + (-8h) + 24 Reorder the terms: -9h + -1(-4 + 5h) = -2h + (-8h) + 24 -9h + (-4 * -1 + 5h * -1) = -2h + (-8h) + 24 -9h + (4 + -5h) = -2h + (-8h) + 24 Reorder the terms: 4 + -9h + -5h = -2h + (-8h) + 24 Combine like terms: -9h + -5h = -14h 4 + -14h = -2h + (-8h) + 24 Reorder the terms: 4 + -14h = 24 + -2h + (-8h) Combine like terms: -2h + (-8h) = -10h 4 + -14h = 24 + -10h Solving 4 + -14h = 24 + -10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10h' to each side of the equation. 4 + -14h + 10h = 24 + -10h + 10h Combine like terms: -14h + 10h = -4h 4 + -4h = 24 + -10h + 10h Combine like terms: -10h + 10h = 0 4 + -4h = 24 + 0 4 + -4h = 24 Add '-4' to each side of the equation. 4 + -4 + -4h = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -4h = 24 + -4 -4h = 24 + -4 Combine like terms: 24 + -4 = 20 -4h = 20 Divide each side by '-4'. h = -5 Simplifying h = -5
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