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Simplifying -2(3n + -1) + -1n = 5(n + -4) Reorder the terms: -2(-1 + 3n) + -1n = 5(n + -4) (-1 * -2 + 3n * -2) + -1n = 5(n + -4) (2 + -6n) + -1n = 5(n + -4) Combine like terms: -6n + -1n = -7n 2 + -7n = 5(n + -4) Reorder the terms: 2 + -7n = 5(-4 + n) 2 + -7n = (-4 * 5 + n * 5) 2 + -7n = (-20 + 5n) Solving 2 + -7n = -20 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + -7n + -5n = -20 + 5n + -5n Combine like terms: -7n + -5n = -12n 2 + -12n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -12n = -20 + 0 2 + -12n = -20 Add '-2' to each side of the equation. 2 + -2 + -12n = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -12n = -20 + -2 -12n = -20 + -2 Combine like terms: -20 + -2 = -22 -12n = -22 Divide each side by '-12'. n = 1.833333333 Simplifying n = 1.833333333
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