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Simplifying 2(2n + -3) = 2 + -2(n + -1) Reorder the terms: 2(-3 + 2n) = 2 + -2(n + -1) (-3 * 2 + 2n * 2) = 2 + -2(n + -1) (-6 + 4n) = 2 + -2(n + -1) Reorder the terms: -6 + 4n = 2 + -2(-1 + n) -6 + 4n = 2 + (-1 * -2 + n * -2) -6 + 4n = 2 + (2 + -2n) Combine like terms: 2 + 2 = 4 -6 + 4n = 4 + -2n Solving -6 + 4n = 4 + -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. -6 + 4n + 2n = 4 + -2n + 2n Combine like terms: 4n + 2n = 6n -6 + 6n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 6n = 4 + 0 -6 + 6n = 4 Add '6' to each side of the equation. -6 + 6 + 6n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 4 + 6 6n = 4 + 6 Combine like terms: 4 + 6 = 10 6n = 10 Divide each side by '6'. n = 1.666666667 Simplifying n = 1.666666667
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