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Simplifying 35 + -7n = -7(1 + 7n) 35 + -7n = (1 * -7 + 7n * -7) 35 + -7n = (-7 + -49n) Solving 35 + -7n = -7 + -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 = -7 + -49n + 49n Combine like terms: -7n + 49n = 42n 35 + 42n = -7 + -49n + 49n Combine like terms: -49n + 49n = 0 35 + 42n = -7 + 0 35 + 42n = -7 Add '-35' to each side of the equation. 35 + -35 + 42n = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 42n = -7 + -35 42n = -7 + -35 Combine like terms: -7 + -35 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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