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Simplifying 8(6h + -11) + 5(20 + -3h) = 0 Reorder the terms: 8(-11 + 6h) + 5(20 + -3h) = 0 (-11 * 8 + 6h * 8) + 5(20 + -3h) = 0 (-88 + 48h) + 5(20 + -3h) = 0 -88 + 48h + (20 * 5 + -3h * 5) = 0 -88 + 48h + (100 + -15h) = 0 Reorder the terms: -88 + 100 + 48h + -15h = 0 Combine like terms: -88 + 100 = 12 12 + 48h + -15h = 0 Combine like terms: 48h + -15h = 33h 12 + 33h = 0 Solving 12 + 33h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 33h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 33h = 0 + -12 33h = 0 + -12 Combine like terms: 0 + -12 = -12 33h = -12 Divide each side by '33'. h = -0.3636363636 Simplifying h = -0.3636363636
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