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Simplifying (3n + -15) + -1(2n + 2) = (2n + -2) Reorder the terms: (-15 + 3n) + -1(2n + 2) = (2n + -2) Remove parenthesis around (-15 + 3n) -15 + 3n + -1(2n + 2) = (2n + -2) Reorder the terms: -15 + 3n + -1(2 + 2n) = (2n + -2) -15 + 3n + (2 * -1 + 2n * -1) = (2n + -2) -15 + 3n + (-2 + -2n) = (2n + -2) Reorder the terms: -15 + -2 + 3n + -2n = (2n + -2) Combine like terms: -15 + -2 = -17 -17 + 3n + -2n = (2n + -2) Combine like terms: 3n + -2n = 1n -17 + 1n = (2n + -2) Reorder the terms: -17 + 1n = (-2 + 2n) Remove parenthesis around (-2 + 2n) -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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