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Simplifying 6(n + -2) + -1(8 + -1n) = 0 Reorder the terms: 6(-2 + n) + -1(8 + -1n) = 0 (-2 * 6 + n * 6) + -1(8 + -1n) = 0 (-12 + 6n) + -1(8 + -1n) = 0 -12 + 6n + (8 * -1 + -1n * -1) = 0 -12 + 6n + (-8 + 1n) = 0 Reorder the terms: -12 + -8 + 6n + 1n = 0 Combine like terms: -12 + -8 = -20 -20 + 6n + 1n = 0 Combine like terms: 6n + 1n = 7n -20 + 7n = 0 Solving -20 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7n = 0 + 20 7n = 0 + 20 Combine like terms: 0 + 20 = 20 7n = 20 Divide each side by '7'. n = 2.857142857 Simplifying n = 2.857142857
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