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Simplifying 4(h + 6) + 5(2 + -3h) = 0 Reorder the terms: 4(6 + h) + 5(2 + -3h) = 0 (6 * 4 + h * 4) + 5(2 + -3h) = 0 (24 + 4h) + 5(2 + -3h) = 0 24 + 4h + (2 * 5 + -3h * 5) = 0 24 + 4h + (10 + -15h) = 0 Reorder the terms: 24 + 10 + 4h + -15h = 0 Combine like terms: 24 + 10 = 34 34 + 4h + -15h = 0 Combine like terms: 4h + -15h = -11h 34 + -11h = 0 Solving 34 + -11h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -11h = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -11h = 0 + -34 -11h = 0 + -34 Combine like terms: 0 + -34 = -34 -11h = -34 Divide each side by '-11'. h = 3.090909091 Simplifying h = 3.090909091
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