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Simplifying -2(3h + -5) = 2(4h + 2) Reorder the terms: -2(-5 + 3h) = 2(4h + 2) (-5 * -2 + 3h * -2) = 2(4h + 2) (10 + -6h) = 2(4h + 2) Reorder the terms: 10 + -6h = 2(2 + 4h) 10 + -6h = (2 * 2 + 4h * 2) 10 + -6h = (4 + 8h) Solving 10 + -6h = 4 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 10 + -6h + -8h = 4 + 8h + -8h Combine like terms: -6h + -8h = -14h 10 + -14h = 4 + 8h + -8h Combine like terms: 8h + -8h = 0 10 + -14h = 4 + 0 10 + -14h = 4 Add '-10' to each side of the equation. 10 + -10 + -14h = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -14h = 4 + -10 -14h = 4 + -10 Combine like terms: 4 + -10 = -6 -14h = -6 Divide each side by '-14'. h = 0.4285714286 Simplifying h = 0.4285714286
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