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Simplifying 7(n + 5) = 6n Reorder the terms: 7(5 + n) = 6n (5 * 7 + n * 7) = 6n (35 + 7n) = 6n Solving 35 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 35 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n 35 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 35 + 1n = 0 Add '-35' to each side of the equation. 35 + -35 + 1n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1n = 0 + -35 1n = 0 + -35 Combine like terms: 0 + -35 = -35 1n = -35 Divide each side by '1'. n = -35 Simplifying n = -35
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