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Simplifying -4(n + -2) + -1(9n + -2) = 14n Reorder the terms: -4(-2 + n) + -1(9n + -2) = 14n (-2 * -4 + n * -4) + -1(9n + -2) = 14n (8 + -4n) + -1(9n + -2) = 14n Reorder the terms: 8 + -4n + -1(-2 + 9n) = 14n 8 + -4n + (-2 * -1 + 9n * -1) = 14n 8 + -4n + (2 + -9n) = 14n Reorder the terms: 8 + 2 + -4n + -9n = 14n Combine like terms: 8 + 2 = 10 10 + -4n + -9n = 14n Combine like terms: -4n + -9n = -13n 10 + -13n = 14n Solving 10 + -13n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 10 + -13n + -14n = 14n + -14n Combine like terms: -13n + -14n = -27n 10 + -27n = 14n + -14n Combine like terms: 14n + -14n = 0 10 + -27n = 0 Add '-10' to each side of the equation. 10 + -10 + -27n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -27n = 0 + -10 -27n = 0 + -10 Combine like terms: 0 + -10 = -10 -27n = -10 Divide each side by '-27'. n = 0.3703703704 Simplifying n = 0.3703703704
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