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Simplifying 12(4 + n) + -5(2n + -9) = 18 (4 * 12 + n * 12) + -5(2n + -9) = 18 (48 + 12n) + -5(2n + -9) = 18 Reorder the terms: 48 + 12n + -5(-9 + 2n) = 18 48 + 12n + (-9 * -5 + 2n * -5) = 18 48 + 12n + (45 + -10n) = 18 Reorder the terms: 48 + 45 + 12n + -10n = 18 Combine like terms: 48 + 45 = 93 93 + 12n + -10n = 18 Combine like terms: 12n + -10n = 2n 93 + 2n = 18 Solving 93 + 2n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -93 + 2n = 18 + -93 Combine like terms: 93 + -93 = 0 0 + 2n = 18 + -93 2n = 18 + -93 Combine like terms: 18 + -93 = -75 2n = -75 Divide each side by '2'. n = -37.5 Simplifying n = -37.5
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