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Simplifying 8n + -1(3n + 7) = 33 Reorder the terms: 8n + -1(7 + 3n) = 33 8n + (7 * -1 + 3n * -1) = 33 8n + (-7 + -3n) = 33 Reorder the terms: -7 + 8n + -3n = 33 Combine like terms: 8n + -3n = 5n -7 + 5n = 33 Solving -7 + 5n = 33 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5n = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 5n = 33 + 7 5n = 33 + 7 Combine like terms: 33 + 7 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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