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Simplifying -3 + -1(7n + 1) = -31 + 2n Reorder the terms: -3 + -1(1 + 7n) = -31 + 2n -3 + (1 * -1 + 7n * -1) = -31 + 2n -3 + (-1 + -7n) = -31 + 2n Combine like terms: -3 + -1 = -4 -4 + -7n = -31 + 2n Solving -4 + -7n = -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. -4 + -7n + -2n = -31 + 2n + -2n Combine like terms: -7n + -2n = -9n -4 + -9n = -31 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + -9n = -31 + 0 -4 + -9n = -31 Add '4' to each side of the equation. -4 + 4 + -9n = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -9n = -31 + 4 -9n = -31 + 4 Combine like terms: -31 + 4 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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