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