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Simplifying 7(n + 2) = 6n + 20 Reorder the terms: 7(2 + n) = 6n + 20 (2 * 7 + n * 7) = 6n + 20 (14 + 7n) = 6n + 20 Reorder the terms: 14 + 7n = 20 + 6n Solving 14 + 7n = 20 + 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. 14 + 7n + -6n = 20 + 6n + -6n Combine like terms: 7n + -6n = 1n 14 + 1n = 20 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + 1n = 20 + 0 14 + 1n = 20 Add '-14' to each side of the equation. 14 + -14 + 1n = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 20 + -14 1n = 20 + -14 Combine like terms: 20 + -14 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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