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Simplifying -8(8n + -3) + -6(-2n + -5) = 2 Reorder the terms: -8(-3 + 8n) + -6(-2n + -5) = 2 (-3 * -8 + 8n * -8) + -6(-2n + -5) = 2 (24 + -64n) + -6(-2n + -5) = 2 Reorder the terms: 24 + -64n + -6(-5 + -2n) = 2 24 + -64n + (-5 * -6 + -2n * -6) = 2 24 + -64n + (30 + 12n) = 2 Reorder the terms: 24 + 30 + -64n + 12n = 2 Combine like terms: 24 + 30 = 54 54 + -64n + 12n = 2 Combine like terms: -64n + 12n = -52n 54 + -52n = 2 Solving 54 + -52n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -52n = 2 + -54 Combine like terms: 54 + -54 = 0 0 + -52n = 2 + -54 -52n = 2 + -54 Combine like terms: 2 + -54 = -52 -52n = -52 Divide each side by '-52'. n = 1 Simplifying n = 1
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