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Simplifying -14 = -3(2 + 4n) + 4(-2n + -2) -14 = (2 * -3 + 4n * -3) + 4(-2n + -2) -14 = (-6 + -12n) + 4(-2n + -2) Reorder the terms: -14 = -6 + -12n + 4(-2 + -2n) -14 = -6 + -12n + (-2 * 4 + -2n * 4) -14 = -6 + -12n + (-8 + -8n) Reorder the terms: -14 = -6 + -8 + -12n + -8n Combine like terms: -6 + -8 = -14 -14 = -14 + -12n + -8n Combine like terms: -12n + -8n = -20n -14 = -14 + -20n Add '14' to each side of the equation. -14 + 14 = -14 + 14 + -20n Combine like terms: -14 + 14 = 0 0 = -14 + 14 + -20n Combine like terms: -14 + 14 = 0 0 = 0 + -20n 0 = -20n Solving 0 = -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 0 + 20n = -20n + 20n Remove the zero: 20n = -20n + 20n Combine like terms: -20n + 20n = 0 20n = 0 Divide each side by '20'. n = 0 Simplifying n = 0
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