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Simplifying 3(4 + -1n) = 2(2n + -1) (4 * 3 + -1n * 3) = 2(2n + -1) (12 + -3n) = 2(2n + -1) Reorder the terms: 12 + -3n = 2(-1 + 2n) 12 + -3n = (-1 * 2 + 2n * 2) 12 + -3n = (-2 + 4n) Solving 12 + -3n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + -3n + -4n = -2 + 4n + -4n Combine like terms: -3n + -4n = -7n 12 + -7n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + -7n = -2 + 0 12 + -7n = -2 Add '-12' to each side of the equation. 12 + -12 + -7n = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = -2 + -12 -7n = -2 + -12 Combine like terms: -2 + -12 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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