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Simplifying 5n + 2(6 + -7n) = 0 5n + (6 * 2 + -7n * 2) = 0 5n + (12 + -14n) = 0 Reorder the terms: 12 + 5n + -14n = 0 Combine like terms: 5n + -14n = -9n 12 + -9n = 0 Solving 12 + -9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 0 + -12 -9n = 0 + -12 Combine like terms: 0 + -12 = -12 -9n = -12 Divide each side by '-9'. n = 1.333333333 Simplifying n = 1.333333333
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