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Simplifying 2 + 2(3 + -2n) = -1(n + -2) 2 + (3 * 2 + -2n * 2) = -1(n + -2) 2 + (6 + -4n) = -1(n + -2) Combine like terms: 2 + 6 = 8 8 + -4n = -1(n + -2) Reorder the terms: 8 + -4n = -1(-2 + n) 8 + -4n = (-2 * -1 + n * -1) 8 + -4n = (2 + -1n) Solving 8 + -4n = 2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + -4n + n = 2 + -1n + n Combine like terms: -4n + n = -3n 8 + -3n = 2 + -1n + n Combine like terms: -1n + n = 0 8 + -3n = 2 + 0 8 + -3n = 2 Add '-8' to each side of the equation. 8 + -8 + -3n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = 2 + -8 -3n = 2 + -8 Combine like terms: 2 + -8 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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