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Simplifying 8(5 + -1h) = 2(2h + -4) (5 * 8 + -1h * 8) = 2(2h + -4) (40 + -8h) = 2(2h + -4) Reorder the terms: 40 + -8h = 2(-4 + 2h) 40 + -8h = (-4 * 2 + 2h * 2) 40 + -8h = (-8 + 4h) Solving 40 + -8h = -8 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 40 + -8h + -4h = -8 + 4h + -4h Combine like terms: -8h + -4h = -12h 40 + -12h = -8 + 4h + -4h Combine like terms: 4h + -4h = 0 40 + -12h = -8 + 0 40 + -12h = -8 Add '-40' to each side of the equation. 40 + -40 + -12h = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -12h = -8 + -40 -12h = -8 + -40 Combine like terms: -8 + -40 = -48 -12h = -48 Divide each side by '-12'. h = 4 Simplifying h = 4
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