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Simplifying -3(1 + -7n) = -31 + -7n (1 * -3 + -7n * -3) = -31 + -7n (-3 + 21n) = -31 + -7n Solving -3 + 21n = -31 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -3 + 21n + 7n = -31 + -7n + 7n Combine like terms: 21n + 7n = 28n -3 + 28n = -31 + -7n + 7n Combine like terms: -7n + 7n = 0 -3 + 28n = -31 + 0 -3 + 28n = -31 Add '3' to each side of the equation. -3 + 3 + 28n = -31 + 3 Combine like terms: -3 + 3 = 0 0 + 28n = -31 + 3 28n = -31 + 3 Combine like terms: -31 + 3 = -28 28n = -28 Divide each side by '28'. n = -1 Simplifying n = -1
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