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