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Simplifying -8 + 5(-3 + 8n) = 177 -8 + (-3 * 5 + 8n * 5) = 177 -8 + (-15 + 40n) = 177 Combine like terms: -8 + -15 = -23 -23 + 40n = 177 Solving -23 + 40n = 177 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 40n = 177 + 23 Combine like terms: -23 + 23 = 0 0 + 40n = 177 + 23 40n = 177 + 23 Combine like terms: 177 + 23 = 200 40n = 200 Divide each side by '40'. n = 5 Simplifying n = 5
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