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Simplifying -34 + 6n = 5(4n + -4) Reorder the terms: -34 + 6n = 5(-4 + 4n) -34 + 6n = (-4 * 5 + 4n * 5) -34 + 6n = (-20 + 20n) Solving -34 + 6n = -20 + 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. -34 + 6n + -20n = -20 + 20n + -20n Combine like terms: 6n + -20n = -14n -34 + -14n = -20 + 20n + -20n Combine like terms: 20n + -20n = 0 -34 + -14n = -20 + 0 -34 + -14n = -20 Add '34' to each side of the equation. -34 + 34 + -14n = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -14n = -20 + 34 -14n = -20 + 34 Combine like terms: -20 + 34 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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