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Simplifying 7(1 + 3n) = 7(1 + -1n) (1 * 7 + 3n * 7) = 7(1 + -1n) (7 + 21n) = 7(1 + -1n) 7 + 21n = (1 * 7 + -1n * 7) 7 + 21n = (7 + -7n) Add '-7' to each side of the equation. 7 + -7 + 21n = 7 + -7 + -7n Combine like terms: 7 + -7 = 0 0 + 21n = 7 + -7 + -7n 21n = 7 + -7 + -7n Combine like terms: 7 + -7 = 0 21n = 0 + -7n 21n = -7n Solving 21n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 21n + 7n = -7n + 7n Combine like terms: 21n + 7n = 28n 28n = -7n + 7n Combine like terms: -7n + 7n = 0 28n = 0 Divide each side by '28'. n = 0 Simplifying n = 0
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