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Simplifying -1(1 + 6n) = 31 + -2n (1 * -1 + 6n * -1) = 31 + -2n (-1 + -6n) = 31 + -2n Solving -1 + -6n = 31 + -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. -1 + -6n + 2n = 31 + -2n + 2n Combine like terms: -6n + 2n = -4n -1 + -4n = 31 + -2n + 2n Combine like terms: -2n + 2n = 0 -1 + -4n = 31 + 0 -1 + -4n = 31 Add '1' to each side of the equation. -1 + 1 + -4n = 31 + 1 Combine like terms: -1 + 1 = 0 0 + -4n = 31 + 1 -4n = 31 + 1 Combine like terms: 31 + 1 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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