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Simplifying 5(n + -2) + -14n = -3 + -1(5 + -4n) Reorder the terms: 5(-2 + n) + -14n = -3 + -1(5 + -4n) (-2 * 5 + n * 5) + -14n = -3 + -1(5 + -4n) (-10 + 5n) + -14n = -3 + -1(5 + -4n) Combine like terms: 5n + -14n = -9n -10 + -9n = -3 + -1(5 + -4n) -10 + -9n = -3 + (5 * -1 + -4n * -1) -10 + -9n = -3 + (-5 + 4n) Combine like terms: -3 + -5 = -8 -10 + -9n = -8 + 4n Solving -10 + -9n = -8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -10 + -9n + -4n = -8 + 4n + -4n Combine like terms: -9n + -4n = -13n -10 + -13n = -8 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + -13n = -8 + 0 -10 + -13n = -8 Add '10' to each side of the equation. -10 + 10 + -13n = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -13n = -8 + 10 -13n = -8 + 10 Combine like terms: -8 + 10 = 2 -13n = 2 Divide each side by '-13'. n = -0.1538461538 Simplifying n = -0.1538461538
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