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Simplifying -2(3n + -1) + 2n = 6 + -2 Reorder the terms: -2(-1 + 3n) + 2n = 6 + -2 (-1 * -2 + 3n * -2) + 2n = 6 + -2 (2 + -6n) + 2n = 6 + -2 Combine like terms: -6n + 2n = -4n 2 + -4n = 6 + -2 Combine like terms: 6 + -2 = 4 2 + -4n = 4 Solving 2 + -4n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = 4 + -2 -4n = 4 + -2 Combine like terms: 4 + -2 = 2 -4n = 2 Divide each side by '-4'. n = -0.5 Simplifying n = -0.5
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