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Simplifying n + -1(14 + 2n) = 13 + (2n + -3) n + (14 * -1 + 2n * -1) = 13 + (2n + -3) n + (-14 + -2n) = 13 + (2n + -3) Reorder the terms: -14 + n + -2n = 13 + (2n + -3) Combine like terms: n + -2n = -1n -14 + -1n = 13 + (2n + -3) Reorder the terms: -14 + -1n = 13 + (-3 + 2n) Remove parenthesis around (-3 + 2n) -14 + -1n = 13 + -3 + 2n Combine like terms: 13 + -3 = 10 -14 + -1n = 10 + 2n Solving -14 + -1n = 10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -14 + -1n + -2n = 10 + 2n + -2n Combine like terms: -1n + -2n = -3n -14 + -3n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + -3n = 10 + 0 -14 + -3n = 10 Add '14' to each side of the equation. -14 + 14 + -3n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = 10 + 14 -3n = 10 + 14 Combine like terms: 10 + 14 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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