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Simplifying 5x + 12(4 + n) + 5(-2 + -9) = 18 5x + (4 * 12 + n * 12) + 5(-2 + -9) = 18 5x + (48 + 12n) + 5(-2 + -9) = 18 Combine like terms: -2 + -9 = -11 5x + 48 + 12n + 5(-11) = 18 Multiply 5 * -11 5x + 48 + 12n + -55 = 18 Reorder the terms: 48 + -55 + 12n + 5x = 18 Combine like terms: 48 + -55 = -7 -7 + 12n + 5x = 18 Solving -7 + 12n + 5x = 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 + 12n + 7 + 5x = 18 + 7 Reorder the terms: -7 + 7 + 12n + 5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 12n + 5x = 18 + 7 12n + 5x = 18 + 7 Combine like terms: 18 + 7 = 25 12n + 5x = 25 Add '-5x' to each side of the equation. 12n + 5x + -5x = 25 + -5x Combine like terms: 5x + -5x = 0 12n + 0 = 25 + -5x 12n = 25 + -5x Divide each side by '12'. n = 2.083333333 + -0.4166666667x Simplifying n = 2.083333333 + -0.4166666667x
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