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Simplifying 7 + 6n = 7(1 + -7n) 7 + 6n = (1 * 7 + -7n * 7) 7 + 6n = (7 + -49n) Add '-7' to each side of the equation. 7 + -7 + 6n = 7 + -7 + -49n Combine like terms: 7 + -7 = 0 0 + 6n = 7 + -7 + -49n 6n = 7 + -7 + -49n Combine like terms: 7 + -7 = 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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