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Simplifying 3n + -5 = -2(1 + -7n) Reorder the terms: -5 + 3n = -2(1 + -7n) -5 + 3n = (1 * -2 + -7n * -2) -5 + 3n = (-2 + 14n) Solving -5 + 3n = -2 + 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. -5 + 3n + -14n = -2 + 14n + -14n Combine like terms: 3n + -14n = -11n -5 + -11n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 -5 + -11n = -2 + 0 -5 + -11n = -2 Add '5' to each side of the equation. -5 + 5 + -11n = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -11n = -2 + 5 -11n = -2 + 5 Combine like terms: -2 + 5 = 3 -11n = 3 Divide each side by '-11'. n = -0.2727272727 Simplifying n = -0.2727272727
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