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Simplifying 14 + -29n + -39 = 4n + -1(7n + -3) Reorder the terms: 14 + -39 + -29n = 4n + -1(7n + -3) Combine like terms: 14 + -39 = -25 -25 + -29n = 4n + -1(7n + -3) Reorder the terms: -25 + -29n = 4n + -1(-3 + 7n) -25 + -29n = 4n + (-3 * -1 + 7n * -1) -25 + -29n = 4n + (3 + -7n) Reorder the terms: -25 + -29n = 3 + 4n + -7n Combine like terms: 4n + -7n = -3n -25 + -29n = 3 + -3n Solving -25 + -29n = 3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -25 + -29n + 3n = 3 + -3n + 3n Combine like terms: -29n + 3n = -26n -25 + -26n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 -25 + -26n = 3 + 0 -25 + -26n = 3 Add '25' to each side of the equation. -25 + 25 + -26n = 3 + 25 Combine like terms: -25 + 25 = 0 0 + -26n = 3 + 25 -26n = 3 + 25 Combine like terms: 3 + 25 = 28 -26n = 28 Divide each side by '-26'. n = -1.076923077 Simplifying n = -1.076923077
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