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Simplifying 2(n + 6) = 12 + -5n Reorder the terms: 2(6 + n) = 12 + -5n (6 * 2 + n * 2) = 12 + -5n (12 + 2n) = 12 + -5n Add '-12' to each side of the equation. 12 + -12 + 2n = 12 + -12 + -5n Combine like terms: 12 + -12 = 0 0 + 2n = 12 + -12 + -5n 2n = 12 + -12 + -5n Combine like terms: 12 + -12 = 0 2n = 0 + -5n 2n = -5n Solving 2n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 2n + 5n = -5n + 5n Combine like terms: 2n + 5n = 7n 7n = -5n + 5n Combine like terms: -5n + 5n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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