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Simplifying -5n + 7(-2 + 2n) = -86 -5n + (-2 * 7 + 2n * 7) = -86 -5n + (-14 + 14n) = -86 Reorder the terms: -14 + -5n + 14n = -86 Combine like terms: -5n + 14n = 9n -14 + 9n = -86 Solving -14 + 9n = -86 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9n = -86 + 14 Combine like terms: -14 + 14 = 0 0 + 9n = -86 + 14 9n = -86 + 14 Combine like terms: -86 + 14 = -72 9n = -72 Divide each side by '9'. n = -8 Simplifying n = -8
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