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Simplifying 9(2h + 3) + 2 = 11(h + -5) Reorder the terms: 9(3 + 2h) + 2 = 11(h + -5) (3 * 9 + 2h * 9) + 2 = 11(h + -5) (27 + 18h) + 2 = 11(h + -5) Reorder the terms: 27 + 2 + 18h = 11(h + -5) Combine like terms: 27 + 2 = 29 29 + 18h = 11(h + -5) Reorder the terms: 29 + 18h = 11(-5 + h) 29 + 18h = (-5 * 11 + h * 11) 29 + 18h = (-55 + 11h) Solving 29 + 18h = -55 + 11h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11h' to each side of the equation. 29 + 18h + -11h = -55 + 11h + -11h Combine like terms: 18h + -11h = 7h 29 + 7h = -55 + 11h + -11h Combine like terms: 11h + -11h = 0 29 + 7h = -55 + 0 29 + 7h = -55 Add '-29' to each side of the equation. 29 + -29 + 7h = -55 + -29 Combine like terms: 29 + -29 = 0 0 + 7h = -55 + -29 7h = -55 + -29 Combine like terms: -55 + -29 = -84 7h = -84 Divide each side by '7'. h = -12 Simplifying h = -12
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