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Simplifying n + -1(5n + 2) = 3(n + -1) Reorder the terms: n + -1(2 + 5n) = 3(n + -1) n + (2 * -1 + 5n * -1) = 3(n + -1) n + (-2 + -5n) = 3(n + -1) Reorder the terms: -2 + n + -5n = 3(n + -1) Combine like terms: n + -5n = -4n -2 + -4n = 3(n + -1) Reorder the terms: -2 + -4n = 3(-1 + n) -2 + -4n = (-1 * 3 + n * 3) -2 + -4n = (-3 + 3n) Solving -2 + -4n = -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. -2 + -4n + -3n = -3 + 3n + -3n Combine like terms: -4n + -3n = -7n -2 + -7n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + -7n = -3 + 0 -2 + -7n = -3 Add '2' to each side of the equation. -2 + 2 + -7n = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = -3 + 2 -7n = -3 + 2 Combine like terms: -3 + 2 = -1 -7n = -1 Divide each side by '-7'. n = 0.1428571429 Simplifying n = 0.1428571429
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