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Simplifying 182 = 7(5 + -7n) 182 = (5 * 7 + -7n * 7) 182 = (35 + -49n) Solving 182 = 35 + -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. 182 + 49n = 35 + -49n + 49n Combine like terms: -49n + 49n = 0 182 + 49n = 35 + 0 182 + 49n = 35 Add '-182' to each side of the equation. 182 + -182 + 49n = 35 + -182 Combine like terms: 182 + -182 = 0 0 + 49n = 35 + -182 49n = 35 + -182 Combine like terms: 35 + -182 = -147 49n = -147 Divide each side by '49'. n = -3 Simplifying n = -3
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