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Simplifying n + -6(6n + 2) = -82 Reorder the terms: n + -6(2 + 6n) = -82 n + (2 * -6 + 6n * -6) = -82 n + (-12 + -36n) = -82 Reorder the terms: -12 + n + -36n = -82 Combine like terms: n + -36n = -35n -12 + -35n = -82 Solving -12 + -35n = -82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -35n = -82 + 12 Combine like terms: -12 + 12 = 0 0 + -35n = -82 + 12 -35n = -82 + 12 Combine like terms: -82 + 12 = -70 -35n = -70 Divide each side by '-35'. n = 2 Simplifying n = 2
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