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Simplifying 4 + -1(3n + -1) = 2(n + 3) Reorder the terms: 4 + -1(-1 + 3n) = 2(n + 3) 4 + (-1 * -1 + 3n * -1) = 2(n + 3) 4 + (1 + -3n) = 2(n + 3) Combine like terms: 4 + 1 = 5 5 + -3n = 2(n + 3) Reorder the terms: 5 + -3n = 2(3 + n) 5 + -3n = (3 * 2 + n * 2) 5 + -3n = (6 + 2n) Solving 5 + -3n = 6 + 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. 5 + -3n + -2n = 6 + 2n + -2n Combine like terms: -3n + -2n = -5n 5 + -5n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + -5n = 6 + 0 5 + -5n = 6 Add '-5' to each side of the equation. 5 + -5 + -5n = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = 6 + -5 -5n = 6 + -5 Combine like terms: 6 + -5 = 1 -5n = 1 Divide each side by '-5'. n = -0.2 Simplifying n = -0.2
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