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Simplifying n + -3(n + -5) = 2(n + 7) Reorder the terms: n + -3(-5 + n) = 2(n + 7) n + (-5 * -3 + n * -3) = 2(n + 7) n + (15 + -3n) = 2(n + 7) Reorder the terms: 15 + n + -3n = 2(n + 7) Combine like terms: n + -3n = -2n 15 + -2n = 2(n + 7) Reorder the terms: 15 + -2n = 2(7 + n) 15 + -2n = (7 * 2 + n * 2) 15 + -2n = (14 + 2n) Solving 15 + -2n = 14 + 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. 15 + -2n + -2n = 14 + 2n + -2n Combine like terms: -2n + -2n = -4n 15 + -4n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + -4n = 14 + 0 15 + -4n = 14 Add '-15' to each side of the equation. 15 + -15 + -4n = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -4n = 14 + -15 -4n = 14 + -15 Combine like terms: 14 + -15 = -1 -4n = -1 Divide each side by '-4'. n = 0.25 Simplifying n = 0.25
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