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Simplifying 2(4 + -4n) = -6 + 6n (4 * 2 + -4n * 2) = -6 + 6n (8 + -8n) = -6 + 6n Solving 8 + -8n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + -8n + -6n = -6 + 6n + -6n Combine like terms: -8n + -6n = -14n 8 + -14n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -14n = -6 + 0 8 + -14n = -6 Add '-8' to each side of the equation. 8 + -8 + -14n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -14n = -6 + -8 -14n = -6 + -8 Combine like terms: -6 + -8 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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