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