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Simplifying 12(4 + h) + 5(-2n + -9) = 18 (4 * 12 + h * 12) + 5(-2n + -9) = 18 (48 + 12h) + 5(-2n + -9) = 18 Reorder the terms: 48 + 12h + 5(-9 + -2n) = 18 48 + 12h + (-9 * 5 + -2n * 5) = 18 48 + 12h + (-45 + -10n) = 18 Reorder the terms: 48 + -45 + 12h + -10n = 18 Combine like terms: 48 + -45 = 3 3 + 12h + -10n = 18 Solving 3 + 12h + -10n = 18 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 12h + -3 + -10n = 18 + -3 Reorder the terms: 3 + -3 + 12h + -10n = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 12h + -10n = 18 + -3 12h + -10n = 18 + -3 Combine like terms: 18 + -3 = 15 12h + -10n = 15 Add '10n' to each side of the equation. 12h + -10n + 10n = 15 + 10n Combine like terms: -10n + 10n = 0 12h + 0 = 15 + 10n 12h = 15 + 10n Divide each side by '12'. h = 1.25 + 0.8333333333n Simplifying h = 1.25 + 0.8333333333n
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