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Simplifying 9(-3 + 8) + 2(4h + -9) = 0 Combine like terms: -3 + 8 = 5 9(5) + 2(4h + -9) = 0 Multiply 9 * 5 45 + 2(4h + -9) = 0 Reorder the terms: 45 + 2(-9 + 4h) = 0 45 + (-9 * 2 + 4h * 2) = 0 45 + (-18 + 8h) = 0 Combine like terms: 45 + -18 = 27 27 + 8h = 0 Solving 27 + 8h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8h = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8h = 0 + -27 8h = 0 + -27 Combine like terms: 0 + -27 = -27 8h = -27 Divide each side by '8'. h = -3.375 Simplifying h = -3.375
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