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Simplifying -12n + 2(5 + -10n) = 278 -12n + (5 * 2 + -10n * 2) = 278 -12n + (10 + -20n) = 278 Reorder the terms: 10 + -12n + -20n = 278 Combine like terms: -12n + -20n = -32n 10 + -32n = 278 Solving 10 + -32n = 278 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -32n = 278 + -10 Combine like terms: 10 + -10 = 0 0 + -32n = 278 + -10 -32n = 278 + -10 Combine like terms: 278 + -10 = 268 -32n = 268 Divide each side by '-32'. n = -8.375 Simplifying n = -8.375
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