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Simplifying 7(n + 8) + 2 = 6n Reorder the terms: 7(8 + n) + 2 = 6n (8 * 7 + n * 7) + 2 = 6n (56 + 7n) + 2 = 6n Reorder the terms: 56 + 2 + 7n = 6n Combine like terms: 56 + 2 = 58 58 + 7n = 6n Solving 58 + 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. 58 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n 58 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 58 + 1n = 0 Add '-58' to each side of the equation. 58 + -58 + 1n = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 1n = 0 + -58 1n = 0 + -58 Combine like terms: 0 + -58 = -58 1n = -58 Divide each side by '1'. n = -58 Simplifying n = -58
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