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Simplifying -2(1 + n) = -6(n + 1) (1 * -2 + n * -2) = -6(n + 1) (-2 + -2n) = -6(n + 1) Reorder the terms: -2 + -2n = -6(1 + n) -2 + -2n = (1 * -6 + n * -6) -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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