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Simplifying 4(n + -6) + -1(3 + -5n) = 8n Reorder the terms: 4(-6 + n) + -1(3 + -5n) = 8n (-6 * 4 + n * 4) + -1(3 + -5n) = 8n (-24 + 4n) + -1(3 + -5n) = 8n -24 + 4n + (3 * -1 + -5n * -1) = 8n -24 + 4n + (-3 + 5n) = 8n Reorder the terms: -24 + -3 + 4n + 5n = 8n Combine like terms: -24 + -3 = -27 -27 + 4n + 5n = 8n Combine like terms: 4n + 5n = 9n -27 + 9n = 8n Solving -27 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -27 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -27 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -27 + 1n = 0 Add '27' to each side of the equation. -27 + 27 + 1n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1n = 0 + 27 1n = 0 + 27 Combine like terms: 0 + 27 = 27 1n = 27 Divide each side by '1'. n = 27 Simplifying n = 27
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