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Simplifying 8n + -3(n + -1) = -5 + 33 Reorder the terms: 8n + -3(-1 + n) = -5 + 33 8n + (-1 * -3 + n * -3) = -5 + 33 8n + (3 + -3n) = -5 + 33 Reorder the terms: 3 + 8n + -3n = -5 + 33 Combine like terms: 8n + -3n = 5n 3 + 5n = -5 + 33 Combine like terms: -5 + 33 = 28 3 + 5n = 28 Solving 3 + 5n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5n = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 28 + -3 5n = 28 + -3 Combine like terms: 28 + -3 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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