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Simplifying 3(2h + 5) + 2(4h + -3) = 0 Reorder the terms: 3(5 + 2h) + 2(4h + -3) = 0 (5 * 3 + 2h * 3) + 2(4h + -3) = 0 (15 + 6h) + 2(4h + -3) = 0 Reorder the terms: 15 + 6h + 2(-3 + 4h) = 0 15 + 6h + (-3 * 2 + 4h * 2) = 0 15 + 6h + (-6 + 8h) = 0 Reorder the terms: 15 + -6 + 6h + 8h = 0 Combine like terms: 15 + -6 = 9 9 + 6h + 8h = 0 Combine like terms: 6h + 8h = 14h 9 + 14h = 0 Solving 9 + 14h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14h = 0 + -9 14h = 0 + -9 Combine like terms: 0 + -9 = -9 14h = -9 Divide each side by '14'. h = -0.6428571429 Simplifying h = -0.6428571429
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