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Simplifying 9(6h + -1) = 2(h + 3) Reorder the terms: 9(-1 + 6h) = 2(h + 3) (-1 * 9 + 6h * 9) = 2(h + 3) (-9 + 54h) = 2(h + 3) Reorder the terms: -9 + 54h = 2(3 + h) -9 + 54h = (3 * 2 + h * 2) -9 + 54h = (6 + 2h) Solving -9 + 54h = 6 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -9 + 54h + -2h = 6 + 2h + -2h Combine like terms: 54h + -2h = 52h -9 + 52h = 6 + 2h + -2h Combine like terms: 2h + -2h = 0 -9 + 52h = 6 + 0 -9 + 52h = 6 Add '9' to each side of the equation. -9 + 9 + 52h = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 52h = 6 + 9 52h = 6 + 9 Combine like terms: 6 + 9 = 15 52h = 15 Divide each side by '52'. h = 0.2884615385 Simplifying h = 0.2884615385
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