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Simplifying 9(2h + 3) + -4(4h + -6) = 0 Reorder the terms: 9(3 + 2h) + -4(4h + -6) = 0 (3 * 9 + 2h * 9) + -4(4h + -6) = 0 (27 + 18h) + -4(4h + -6) = 0 Reorder the terms: 27 + 18h + -4(-6 + 4h) = 0 27 + 18h + (-6 * -4 + 4h * -4) = 0 27 + 18h + (24 + -16h) = 0 Reorder the terms: 27 + 24 + 18h + -16h = 0 Combine like terms: 27 + 24 = 51 51 + 18h + -16h = 0 Combine like terms: 18h + -16h = 2h 51 + 2h = 0 Solving 51 + 2h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 2h = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 2h = 0 + -51 2h = 0 + -51 Combine like terms: 0 + -51 = -51 2h = -51 Divide each side by '2'. h = -25.5 Simplifying h = -25.5
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