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Simplifying 7(1 + -7n) = 7 + 3n (1 * 7 + -7n * 7) = 7 + 3n (7 + -49n) = 7 + 3n Add '-7' to each side of the equation. 7 + -7 + -49n = 7 + -7 + 3n Combine like terms: 7 + -7 = 0 0 + -49n = 7 + -7 + 3n -49n = 7 + -7 + 3n Combine like terms: 7 + -7 = 0 -49n = 0 + 3n -49n = 3n Solving -49n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -49n + -3n = 3n + -3n Combine like terms: -49n + -3n = -52n -52n = 3n + -3n Combine like terms: 3n + -3n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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