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Simplifying 3(2h + -3) + 2(h + 3) = 0 Reorder the terms: 3(-3 + 2h) + 2(h + 3) = 0 (-3 * 3 + 2h * 3) + 2(h + 3) = 0 (-9 + 6h) + 2(h + 3) = 0 Reorder the terms: -9 + 6h + 2(3 + h) = 0 -9 + 6h + (3 * 2 + h * 2) = 0 -9 + 6h + (6 + 2h) = 0 Reorder the terms: -9 + 6 + 6h + 2h = 0 Combine like terms: -9 + 6 = -3 -3 + 6h + 2h = 0 Combine like terms: 6h + 2h = 8h -3 + 8h = 0 Solving -3 + 8h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8h = 0 + 3 8h = 0 + 3 Combine like terms: 0 + 3 = 3 8h = 3 Divide each side by '8'. h = 0.375 Simplifying h = 0.375
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