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Simplifying 3(n + -5) + -1(2n + 2) = 2(n + -1) Reorder the terms: 3(-5 + n) + -1(2n + 2) = 2(n + -1) (-5 * 3 + n * 3) + -1(2n + 2) = 2(n + -1) (-15 + 3n) + -1(2n + 2) = 2(n + -1) Reorder the terms: -15 + 3n + -1(2 + 2n) = 2(n + -1) -15 + 3n + (2 * -1 + 2n * -1) = 2(n + -1) -15 + 3n + (-2 + -2n) = 2(n + -1) Reorder the terms: -15 + -2 + 3n + -2n = 2(n + -1) Combine like terms: -15 + -2 = -17 -17 + 3n + -2n = 2(n + -1) Combine like terms: 3n + -2n = 1n -17 + 1n = 2(n + -1) Reorder the terms: -17 + 1n = 2(-1 + n) -17 + 1n = (-1 * 2 + n * 2) -17 + 1n = (-2 + 2n) Solving -17 + 1n = -2 + 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. -17 + 1n + -2n = -2 + 2n + -2n Combine like terms: 1n + -2n = -1n -17 + -1n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 -17 + -1n = -2 + 0 -17 + -1n = -2 Add '17' to each side of the equation. -17 + 17 + -1n = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -1n = -2 + 17 -1n = -2 + 17 Combine like terms: -2 + 17 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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