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Simplifying 2(n + -7) = -32 + -7n Reorder the terms: 2(-7 + n) = -32 + -7n (-7 * 2 + n * 2) = -32 + -7n (-14 + 2n) = -32 + -7n Solving -14 + 2n = -32 + -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. -14 + 2n + 7n = -32 + -7n + 7n Combine like terms: 2n + 7n = 9n -14 + 9n = -32 + -7n + 7n Combine like terms: -7n + 7n = 0 -14 + 9n = -32 + 0 -14 + 9n = -32 Add '14' to each side of the equation. -14 + 14 + 9n = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 9n = -32 + 14 9n = -32 + 14 Combine like terms: -32 + 14 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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