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Simplifying -6(4 + -8n) + -5n = -24 + n (4 * -6 + -8n * -6) + -5n = -24 + n (-24 + 48n) + -5n = -24 + n Combine like terms: 48n + -5n = 43n -24 + 43n = -24 + n Add '24' to each side of the equation. -24 + 24 + 43n = -24 + 24 + n Combine like terms: -24 + 24 = 0 0 + 43n = -24 + 24 + n 43n = -24 + 24 + n Combine like terms: -24 + 24 = 0 43n = 0 + n 43n = n Solving 43n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 43n + -1n = n + -1n Combine like terms: 43n + -1n = 42n 42n = n + -1n Combine like terms: n + -1n = 0 42n = 0 Divide each side by '42'. n = 0 Simplifying n = 0
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