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Simplifying -35 + -6n = 7(7n + -5) Reorder the terms: -35 + -6n = 7(-5 + 7n) -35 + -6n = (-5 * 7 + 7n * 7) -35 + -6n = (-35 + 49n) Add '35' to each side of the equation. -35 + 35 + -6n = -35 + 35 + 49n Combine like terms: -35 + 35 = 0 0 + -6n = -35 + 35 + 49n -6n = -35 + 35 + 49n Combine like terms: -35 + 35 = 0 -6n = 0 + 49n -6n = 49n Solving -6n = 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -6n + -49n = 49n + -49n Combine like terms: -6n + -49n = -55n -55n = 49n + -49n Combine like terms: 49n + -49n = 0 -55n = 0 Divide each side by '-55'. n = 0 Simplifying n = 0
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