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Simplifying -3 + -1(n + -1) + -2(n + -2) = -3 + (n + -2) + 4 Reorder the terms: -3 + -1(-1 + n) + -2(n + -2) = -3 + (n + -2) + 4 -3 + (-1 * -1 + n * -1) + -2(n + -2) = -3 + (n + -2) + 4 -3 + (1 + -1n) + -2(n + -2) = -3 + (n + -2) + 4 Reorder the terms: -3 + 1 + -1n + -2(-2 + n) = -3 + (n + -2) + 4 -3 + 1 + -1n + (-2 * -2 + n * -2) = -3 + (n + -2) + 4 -3 + 1 + -1n + (4 + -2n) = -3 + (n + -2) + 4 Reorder the terms: -3 + 1 + 4 + -1n + -2n = -3 + (n + -2) + 4 Combine like terms: -3 + 1 = -2 -2 + 4 + -1n + -2n = -3 + (n + -2) + 4 Combine like terms: -2 + 4 = 2 2 + -1n + -2n = -3 + (n + -2) + 4 Combine like terms: -1n + -2n = -3n 2 + -3n = -3 + (n + -2) + 4 Reorder the terms: 2 + -3n = -3 + (-2 + n) + 4 Remove parenthesis around (-2 + n) 2 + -3n = -3 + -2 + n + 4 Reorder the terms: 2 + -3n = -3 + -2 + 4 + n Combine like terms: -3 + -2 = -5 2 + -3n = -5 + 4 + n Combine like terms: -5 + 4 = -1 2 + -3n = -1 + n Solving 2 + -3n = -1 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + -3n + -1n = -1 + n + -1n Combine like terms: -3n + -1n = -4n 2 + -4n = -1 + n + -1n Combine like terms: n + -1n = 0 2 + -4n = -1 + 0 2 + -4n = -1 Add '-2' to each side of the equation. 2 + -2 + -4n = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -1 + -2 -4n = -1 + -2 Combine like terms: -1 + -2 = -3 -4n = -3 Divide each side by '-4'. n = 0.75 Simplifying n = 0.75
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