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Simplifying -9(n + 1) + -1(4n + -3) = 14n Reorder the terms: -9(1 + n) + -1(4n + -3) = 14n (1 * -9 + n * -9) + -1(4n + -3) = 14n (-9 + -9n) + -1(4n + -3) = 14n Reorder the terms: -9 + -9n + -1(-3 + 4n) = 14n -9 + -9n + (-3 * -1 + 4n * -1) = 14n -9 + -9n + (3 + -4n) = 14n Reorder the terms: -9 + 3 + -9n + -4n = 14n Combine like terms: -9 + 3 = -6 -6 + -9n + -4n = 14n Combine like terms: -9n + -4n = -13n -6 + -13n = 14n Solving -6 + -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. -6 + -13n + -14n = 14n + -14n Combine like terms: -13n + -14n = -27n -6 + -27n = 14n + -14n Combine like terms: 14n + -14n = 0 -6 + -27n = 0 Add '6' to each side of the equation. -6 + 6 + -27n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -27n = 0 + 6 -27n = 0 + 6 Combine like terms: 0 + 6 = 6 -27n = 6 Divide each side by '-27'. n = -0.2222222222 Simplifying n = -0.2222222222
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