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Simplifying 7(1 + n) = n + 7 (1 * 7 + n * 7) = n + 7 (7 + 7n) = n + 7 Reorder the terms: 7 + 7n = 7 + n Add '-7' to each side of the equation. 7 + -7 + 7n = 7 + -7 + n Combine like terms: 7 + -7 = 0 0 + 7n = 7 + -7 + n 7n = 7 + -7 + n Combine like terms: 7 + -7 = 0 7n = 0 + n 7n = n Solving 7n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 7n + -1n = n + -1n Combine like terms: 7n + -1n = 6n 6n = n + -1n Combine like terms: n + -1n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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