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Simplifying 2(6 + n) + 5(n + -3) = 0 (6 * 2 + n * 2) + 5(n + -3) = 0 (12 + 2n) + 5(n + -3) = 0 Reorder the terms: 12 + 2n + 5(-3 + n) = 0 12 + 2n + (-3 * 5 + n * 5) = 0 12 + 2n + (-15 + 5n) = 0 Reorder the terms: 12 + -15 + 2n + 5n = 0 Combine like terms: 12 + -15 = -3 -3 + 2n + 5n = 0 Combine like terms: 2n + 5n = 7n -3 + 7n = 0 Solving -3 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 0 + 3 7n = 0 + 3 Combine like terms: 0 + 3 = 3 7n = 3 Divide each side by '7'. n = 0.4285714286 Simplifying n = 0.4285714286
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