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Simplifying 6 + 6n = -4(2 + -5n) 6 + 6n = (2 * -4 + -5n * -4) 6 + 6n = (-8 + 20n) Solving 6 + 6n = -8 + 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. 6 + 6n + -20n = -8 + 20n + -20n Combine like terms: 6n + -20n = -14n 6 + -14n = -8 + 20n + -20n Combine like terms: 20n + -20n = 0 6 + -14n = -8 + 0 6 + -14n = -8 Add '-6' to each side of the equation. 6 + -6 + -14n = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -14n = -8 + -6 -14n = -8 + -6 Combine like terms: -8 + -6 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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