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Simplifying -35 + -7n = 7(-7n + 7) Reorder the terms: -35 + -7n = 7(7 + -7n) -35 + -7n = (7 * 7 + -7n * 7) -35 + -7n = (49 + -49n) Solving -35 + -7n = 49 + -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. -35 + -7n + 49n = 49 + -49n + 49n Combine like terms: -7n + 49n = 42n -35 + 42n = 49 + -49n + 49n Combine like terms: -49n + 49n = 0 -35 + 42n = 49 + 0 -35 + 42n = 49 Add '35' to each side of the equation. -35 + 35 + 42n = 49 + 35 Combine like terms: -35 + 35 = 0 0 + 42n = 49 + 35 42n = 49 + 35 Combine like terms: 49 + 35 = 84 42n = 84 Divide each side by '42'. n = 2 Simplifying n = 2
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