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Simplifying -7n + -2(3n + -2) = 82 Reorder the terms: -7n + -2(-2 + 3n) = 82 -7n + (-2 * -2 + 3n * -2) = 82 -7n + (4 + -6n) = 82 Reorder the terms: 4 + -7n + -6n = 82 Combine like terms: -7n + -6n = -13n 4 + -13n = 82 Solving 4 + -13n = 82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13n = 82 + -4 Combine like terms: 4 + -4 = 0 0 + -13n = 82 + -4 -13n = 82 + -4 Combine like terms: 82 + -4 = 78 -13n = 78 Divide each side by '-13'. n = -6 Simplifying n = -6
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