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Simplifying 14 + -9n + -39 = -4n + -1(7n + -3) Reorder the terms: 14 + -39 + -9n = -4n + -1(7n + -3) Combine like terms: 14 + -39 = -25 -25 + -9n = -4n + -1(7n + -3) Reorder the terms: -25 + -9n = -4n + -1(-3 + 7n) -25 + -9n = -4n + (-3 * -1 + 7n * -1) -25 + -9n = -4n + (3 + -7n) Reorder the terms: -25 + -9n = 3 + -4n + -7n Combine like terms: -4n + -7n = -11n -25 + -9n = 3 + -11n Solving -25 + -9n = 3 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -25 + -9n + 11n = 3 + -11n + 11n Combine like terms: -9n + 11n = 2n -25 + 2n = 3 + -11n + 11n Combine like terms: -11n + 11n = 0 -25 + 2n = 3 + 0 -25 + 2n = 3 Add '25' to each side of the equation. -25 + 25 + 2n = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 2n = 3 + 25 2n = 3 + 25 Combine like terms: 3 + 25 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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