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Simplifying 3(1 + 2n) = -2(-1n + -4) + 3 (1 * 3 + 2n * 3) = -2(-1n + -4) + 3 (3 + 6n) = -2(-1n + -4) + 3 Reorder the terms: 3 + 6n = -2(-4 + -1n) + 3 3 + 6n = (-4 * -2 + -1n * -2) + 3 3 + 6n = (8 + 2n) + 3 Reorder the terms: 3 + 6n = 8 + 3 + 2n Combine like terms: 8 + 3 = 11 3 + 6n = 11 + 2n Solving 3 + 6n = 11 + 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. 3 + 6n + -2n = 11 + 2n + -2n Combine like terms: 6n + -2n = 4n 3 + 4n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 4n = 11 + 0 3 + 4n = 11 Add '-3' to each side of the equation. 3 + -3 + 4n = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 11 + -3 4n = 11 + -3 Combine like terms: 11 + -3 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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