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Simplifying -4(3n + -2) + -1n = -1(n + -1) Reorder the terms: -4(-2 + 3n) + -1n = -1(n + -1) (-2 * -4 + 3n * -4) + -1n = -1(n + -1) (8 + -12n) + -1n = -1(n + -1) Combine like terms: -12n + -1n = -13n 8 + -13n = -1(n + -1) Reorder the terms: 8 + -13n = -1(-1 + n) 8 + -13n = (-1 * -1 + n * -1) 8 + -13n = (1 + -1n) Solving 8 + -13n = 1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + -13n + n = 1 + -1n + n Combine like terms: -13n + n = -12n 8 + -12n = 1 + -1n + n Combine like terms: -1n + n = 0 8 + -12n = 1 + 0 8 + -12n = 1 Add '-8' to each side of the equation. 8 + -8 + -12n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -12n = 1 + -8 -12n = 1 + -8 Combine like terms: 1 + -8 = -7 -12n = -7 Divide each side by '-12'. n = 0.5833333333 Simplifying n = 0.5833333333
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