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