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Simplifying 2(6n + -3) + 7(n + 8) = 0 Reorder the terms: 2(-3 + 6n) + 7(n + 8) = 0 (-3 * 2 + 6n * 2) + 7(n + 8) = 0 (-6 + 12n) + 7(n + 8) = 0 Reorder the terms: -6 + 12n + 7(8 + n) = 0 -6 + 12n + (8 * 7 + n * 7) = 0 -6 + 12n + (56 + 7n) = 0 Reorder the terms: -6 + 56 + 12n + 7n = 0 Combine like terms: -6 + 56 = 50 50 + 12n + 7n = 0 Combine like terms: 12n + 7n = 19n 50 + 19n = 0 Solving 50 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 19n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 19n = 0 + -50 19n = 0 + -50 Combine like terms: 0 + -50 = -50 19n = -50 Divide each side by '19'. n = -2.631578947 Simplifying n = -2.631578947
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