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Simplifying 2(3n + -2) = (2n + 1) + 1 Reorder the terms: 2(-2 + 3n) = (2n + 1) + 1 (-2 * 2 + 3n * 2) = (2n + 1) + 1 (-4 + 6n) = (2n + 1) + 1 Reorder the terms: -4 + 6n = (1 + 2n) + 1 Remove parenthesis around (1 + 2n) -4 + 6n = 1 + 2n + 1 Reorder the terms: -4 + 6n = 1 + 1 + 2n Combine like terms: 1 + 1 = 2 -4 + 6n = 2 + 2n Solving -4 + 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. -4 + 6n + -2n = 2 + 2n + -2n Combine like terms: 6n + -2n = 4n -4 + 4n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + 4n = 2 + 0 -4 + 4n = 2 Add '4' to each side of the equation. -4 + 4 + 4n = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 2 + 4 4n = 2 + 4 Combine like terms: 2 + 4 = 6 4n = 6 Divide each side by '4'. n = 1.5 Simplifying n = 1.5
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