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Simplifying -3 + -1(n + -1) + -2(n + -2) = -3n + (n + -2) + 4 Reorder the terms: -3 + -1(-1 + n) + -2(n + -2) = -3n + (n + -2) + 4 -3 + (-1 * -1 + n * -1) + -2(n + -2) = -3n + (n + -2) + 4 -3 + (1 + -1n) + -2(n + -2) = -3n + (n + -2) + 4 Reorder the terms: -3 + 1 + -1n + -2(-2 + n) = -3n + (n + -2) + 4 -3 + 1 + -1n + (-2 * -2 + n * -2) = -3n + (n + -2) + 4 -3 + 1 + -1n + (4 + -2n) = -3n + (n + -2) + 4 Reorder the terms: -3 + 1 + 4 + -1n + -2n = -3n + (n + -2) + 4 Combine like terms: -3 + 1 = -2 -2 + 4 + -1n + -2n = -3n + (n + -2) + 4 Combine like terms: -2 + 4 = 2 2 + -1n + -2n = -3n + (n + -2) + 4 Combine like terms: -1n + -2n = -3n 2 + -3n = -3n + (n + -2) + 4 Reorder the terms: 2 + -3n = -3n + (-2 + n) + 4 Remove parenthesis around (-2 + n) 2 + -3n = -3n + -2 + n + 4 Reorder the terms: 2 + -3n = -2 + 4 + -3n + n Combine like terms: -2 + 4 = 2 2 + -3n = 2 + -3n + n Combine like terms: -3n + n = -2n 2 + -3n = 2 + -2n Add '-2' to each side of the equation. 2 + -2 + -3n = 2 + -2 + -2n Combine like terms: 2 + -2 = 0 0 + -3n = 2 + -2 + -2n -3n = 2 + -2 + -2n Combine like terms: 2 + -2 = 0 -3n = 0 + -2n -3n = -2n Solving -3n = -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. -3n + 2n = -2n + 2n Combine like terms: -3n + 2n = -1n -1n = -2n + 2n Combine like terms: -2n + 2n = 0 -1n = 0 Divide each side by '-1'. n = 0 Simplifying n = 0
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