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Simplifying 3 + -1(-3n) + -5(n + -2) = 7n + -14 Remove parenthesis around (-3n) 3 + -1 * -3n + -5(n + -2) = 7n + -14 Multiply -1 * -3 3 + 3n + -5(n + -2) = 7n + -14 Reorder the terms: 3 + 3n + -5(-2 + n) = 7n + -14 3 + 3n + (-2 * -5 + n * -5) = 7n + -14 3 + 3n + (10 + -5n) = 7n + -14 Reorder the terms: 3 + 10 + 3n + -5n = 7n + -14 Combine like terms: 3 + 10 = 13 13 + 3n + -5n = 7n + -14 Combine like terms: 3n + -5n = -2n 13 + -2n = 7n + -14 Reorder the terms: 13 + -2n = -14 + 7n Solving 13 + -2n = -14 + 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. 13 + -2n + -7n = -14 + 7n + -7n Combine like terms: -2n + -7n = -9n 13 + -9n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + -9n = -14 + 0 13 + -9n = -14 Add '-13' to each side of the equation. 13 + -13 + -9n = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -9n = -14 + -13 -9n = -14 + -13 Combine like terms: -14 + -13 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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