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Simplifying 5(n + -7) + -1(6 + -4n) = 8n Reorder the terms: 5(-7 + n) + -1(6 + -4n) = 8n (-7 * 5 + n * 5) + -1(6 + -4n) = 8n (-35 + 5n) + -1(6 + -4n) = 8n -35 + 5n + (6 * -1 + -4n * -1) = 8n -35 + 5n + (-6 + 4n) = 8n Reorder the terms: -35 + -6 + 5n + 4n = 8n Combine like terms: -35 + -6 = -41 -41 + 5n + 4n = 8n Combine like terms: 5n + 4n = 9n -41 + 9n = 8n Solving -41 + 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. -41 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -41 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -41 + 1n = 0 Add '41' to each side of the equation. -41 + 41 + 1n = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1n = 0 + 41 1n = 0 + 41 Combine like terms: 0 + 41 = 41 1n = 41 Divide each side by '1'. n = 41 Simplifying n = 41
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