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Simplifying 7(n + 7) + 2 = 6n Reorder the terms: 7(7 + n) + 2 = 6n (7 * 7 + n * 7) + 2 = 6n (49 + 7n) + 2 = 6n Reorder the terms: 49 + 2 + 7n = 6n Combine like terms: 49 + 2 = 51 51 + 7n = 6n Solving 51 + 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. 51 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n 51 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 51 + 1n = 0 Add '-51' to each side of the equation. 51 + -51 + 1n = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 1n = 0 + -51 1n = 0 + -51 Combine like terms: 0 + -51 = -51 1n = -51 Divide each side by '1'. n = -51 Simplifying n = -51
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