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Simplifying 3(5 + -1n) + -1(-2)(n + -4) = -1(2n + -5) (5 * 3 + -1n * 3) + -1(-2)(n + -4) = -1(2n + -5) (15 + -3n) + -1(-2)(n + -4) = -1(2n + -5) Reorder the terms: 15 + -3n + -1 * -2(-4 + n) = -1(2n + -5) Multiply -1 * -2 15 + -3n + 2(-4 + n) = -1(2n + -5) 15 + -3n + (-4 * 2 + n * 2) = -1(2n + -5) 15 + -3n + (-8 + 2n) = -1(2n + -5) Reorder the terms: 15 + -8 + -3n + 2n = -1(2n + -5) Combine like terms: 15 + -8 = 7 7 + -3n + 2n = -1(2n + -5) Combine like terms: -3n + 2n = -1n 7 + -1n = -1(2n + -5) Reorder the terms: 7 + -1n = -1(-5 + 2n) 7 + -1n = (-5 * -1 + 2n * -1) 7 + -1n = (5 + -2n) Solving 7 + -1n = 5 + -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. 7 + -1n + 2n = 5 + -2n + 2n Combine like terms: -1n + 2n = 1n 7 + 1n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + 1n = 5 + 0 7 + 1n = 5 Add '-7' to each side of the equation. 7 + -7 + 1n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 5 + -7 1n = 5 + -7 Combine like terms: 5 + -7 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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