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Simplifying 4(2 + -5n) = -34 + -6n (2 * 4 + -5n * 4) = -34 + -6n (8 + -20n) = -34 + -6n Solving 8 + -20n = -34 + -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 + -20n + 6n = -34 + -6n + 6n Combine like terms: -20n + 6n = -14n 8 + -14n = -34 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -14n = -34 + 0 8 + -14n = -34 Add '-8' to each side of the equation. 8 + -8 + -14n = -34 + -8 Combine like terms: 8 + -8 = 0 0 + -14n = -34 + -8 -14n = -34 + -8 Combine like terms: -34 + -8 = -42 -14n = -42 Divide each side by '-14'. n = 3 Simplifying n = 3
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