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Simplifying 3(8 + -2n) + -6(-8 + 5n) = 0 (8 * 3 + -2n * 3) + -6(-8 + 5n) = 0 (24 + -6n) + -6(-8 + 5n) = 0 24 + -6n + (-8 * -6 + 5n * -6) = 0 24 + -6n + (48 + -30n) = 0 Reorder the terms: 24 + 48 + -6n + -30n = 0 Combine like terms: 24 + 48 = 72 72 + -6n + -30n = 0 Combine like terms: -6n + -30n = -36n 72 + -36n = 0 Solving 72 + -36n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -36n = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -36n = 0 + -72 -36n = 0 + -72 Combine like terms: 0 + -72 = -72 -36n = -72 Divide each side by '-36'. n = 2 Simplifying n = 2
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