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Simplifying 12(4 + n) + 5(-2 + -9) = 18 (4 * 12 + n * 12) + 5(-2 + -9) = 18 (48 + 12n) + 5(-2 + -9) = 18 Combine like terms: -2 + -9 = -11 48 + 12n + 5(-11) = 18 Multiply 5 * -11 48 + 12n + -55 = 18 Reorder the terms: 48 + -55 + 12n = 18 Combine like terms: 48 + -55 = -7 -7 + 12n = 18 Solving -7 + 12n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12n = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 12n = 18 + 7 12n = 18 + 7 Combine like terms: 18 + 7 = 25 12n = 25 Divide each side by '12'. n = 2.083333333 Simplifying n = 2.083333333
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