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Simplifying 4(n + -7) + -1(3 + -5n) = 8n Reorder the terms: 4(-7 + n) + -1(3 + -5n) = 8n (-7 * 4 + n * 4) + -1(3 + -5n) = 8n (-28 + 4n) + -1(3 + -5n) = 8n -28 + 4n + (3 * -1 + -5n * -1) = 8n -28 + 4n + (-3 + 5n) = 8n Reorder the terms: -28 + -3 + 4n + 5n = 8n Combine like terms: -28 + -3 = -31 -31 + 4n + 5n = 8n Combine like terms: 4n + 5n = 9n -31 + 9n = 8n Solving -31 + 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. -31 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -31 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -31 + 1n = 0 Add '31' to each side of the equation. -31 + 31 + 1n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1n = 0 + 31 1n = 0 + 31 Combine like terms: 0 + 31 = 31 1n = 31 Divide each side by '1'. n = 31 Simplifying n = 31
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