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Simplifying -6n + 2(-5 + -12n) = -12n + -10(1 + -12n) -6n + (-5 * 2 + -12n * 2) = -12n + -10(1 + -12n) -6n + (-10 + -24n) = -12n + -10(1 + -12n) Reorder the terms: -10 + -6n + -24n = -12n + -10(1 + -12n) Combine like terms: -6n + -24n = -30n -10 + -30n = -12n + -10(1 + -12n) -10 + -30n = -12n + (1 * -10 + -12n * -10) -10 + -30n = -12n + (-10 + 120n) Reorder the terms: -10 + -30n = -10 + -12n + 120n Combine like terms: -12n + 120n = 108n -10 + -30n = -10 + 108n Add '10' to each side of the equation. -10 + 10 + -30n = -10 + 10 + 108n Combine like terms: -10 + 10 = 0 0 + -30n = -10 + 10 + 108n -30n = -10 + 10 + 108n Combine like terms: -10 + 10 = 0 -30n = 0 + 108n -30n = 108n Solving -30n = 108n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-108n' to each side of the equation. -30n + -108n = 108n + -108n Combine like terms: -30n + -108n = -138n -138n = 108n + -108n Combine like terms: 108n + -108n = 0 -138n = 0 Divide each side by '-138'. n = 0 Simplifying n = 0
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