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Simplifying 5(10h + -10) = 5(-4h + 4) Reorder the terms: 5(-10 + 10h) = 5(-4h + 4) (-10 * 5 + 10h * 5) = 5(-4h + 4) (-50 + 50h) = 5(-4h + 4) Reorder the terms: -50 + 50h = 5(4 + -4h) -50 + 50h = (4 * 5 + -4h * 5) -50 + 50h = (20 + -20h) Solving -50 + 50h = 20 + -20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20h' to each side of the equation. -50 + 50h + 20h = 20 + -20h + 20h Combine like terms: 50h + 20h = 70h -50 + 70h = 20 + -20h + 20h Combine like terms: -20h + 20h = 0 -50 + 70h = 20 + 0 -50 + 70h = 20 Add '50' to each side of the equation. -50 + 50 + 70h = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 70h = 20 + 50 70h = 20 + 50 Combine like terms: 20 + 50 = 70 70h = 70 Divide each side by '70'. h = 1 Simplifying h = 1
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