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Simplifying 5(n + -2) + -14n = 3n + -1(5 + -4n) Reorder the terms: 5(-2 + n) + -14n = 3n + -1(5 + -4n) (-2 * 5 + n * 5) + -14n = 3n + -1(5 + -4n) (-10 + 5n) + -14n = 3n + -1(5 + -4n) Combine like terms: 5n + -14n = -9n -10 + -9n = 3n + -1(5 + -4n) -10 + -9n = 3n + (5 * -1 + -4n * -1) -10 + -9n = 3n + (-5 + 4n) Reorder the terms: -10 + -9n = -5 + 3n + 4n Combine like terms: 3n + 4n = 7n -10 + -9n = -5 + 7n Solving -10 + -9n = -5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -10 + -9n + -7n = -5 + 7n + -7n Combine like terms: -9n + -7n = -16n -10 + -16n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + -16n = -5 + 0 -10 + -16n = -5 Add '10' to each side of the equation. -10 + 10 + -16n = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -16n = -5 + 10 -16n = -5 + 10 Combine like terms: -5 + 10 = 5 -16n = 5 Divide each side by '-16'. n = -0.3125 Simplifying n = -0.3125
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