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Simplifying 6n = 7(n + 1) Reorder the terms: 6n = 7(1 + n) 6n = (1 * 7 + n * 7) 6n = (7 + 7n) Solving 6n = 7 + 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. 6n + -7n = 7 + 7n + -7n Combine like terms: 6n + -7n = -1n -1n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -1n = 7 + 0 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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