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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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