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Simplifying -5(n + -8) = -6(-8 + -6n) + -8 Reorder the terms: -5(-8 + n) = -6(-8 + -6n) + -8 (-8 * -5 + n * -5) = -6(-8 + -6n) + -8 (40 + -5n) = -6(-8 + -6n) + -8 40 + -5n = (-8 * -6 + -6n * -6) + -8 40 + -5n = (48 + 36n) + -8 Reorder the terms: 40 + -5n = 48 + -8 + 36n Combine like terms: 48 + -8 = 40 40 + -5n = 40 + 36n Add '-40' to each side of the equation. 40 + -40 + -5n = 40 + -40 + 36n Combine like terms: 40 + -40 = 0 0 + -5n = 40 + -40 + 36n -5n = 40 + -40 + 36n Combine like terms: 40 + -40 = 0 -5n = 0 + 36n -5n = 36n Solving -5n = 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -5n + -36n = 36n + -36n Combine like terms: -5n + -36n = -41n -41n = 36n + -36n Combine like terms: 36n + -36n = 0 -41n = 0 Divide each side by '-41'. n = 0 Simplifying n = 0
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