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Simplifying -7 + 2(2n + -1) = -31 + -7n Reorder the terms: -7 + 2(-1 + 2n) = -31 + -7n -7 + (-1 * 2 + 2n * 2) = -31 + -7n -7 + (-2 + 4n) = -31 + -7n Combine like terms: -7 + -2 = -9 -9 + 4n = -31 + -7n Solving -9 + 4n = -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. -9 + 4n + 7n = -31 + -7n + 7n Combine like terms: 4n + 7n = 11n -9 + 11n = -31 + -7n + 7n Combine like terms: -7n + 7n = 0 -9 + 11n = -31 + 0 -9 + 11n = -31 Add '9' to each side of the equation. -9 + 9 + 11n = -31 + 9 Combine like terms: -9 + 9 = 0 0 + 11n = -31 + 9 11n = -31 + 9 Combine like terms: -31 + 9 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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