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Simplifying -12n + 12n = -10(-1 + -2n) + -2(n + 5) Combine like terms: -12n + 12n = 0 0 = -10(-1 + -2n) + -2(n + 5) 0 = (-1 * -10 + -2n * -10) + -2(n + 5) 0 = (10 + 20n) + -2(n + 5) Reorder the terms: 0 = 10 + 20n + -2(5 + n) 0 = 10 + 20n + (5 * -2 + n * -2) 0 = 10 + 20n + (-10 + -2n) Reorder the terms: 0 = 10 + -10 + 20n + -2n Combine like terms: 10 + -10 = 0 0 = 0 + 20n + -2n 0 = 20n + -2n Combine like terms: 20n + -2n = 18n 0 = 18n Solving 0 = 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 0 + -18n = 18n + -18n Remove the zero: -18n = 18n + -18n Combine like terms: 18n + -18n = 0 -18n = 0 Divide each side by '-18'. n = 0 Simplifying n = 0
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