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Simplifying 4(8n + -2) + -1n = 209 Reorder the terms: 4(-2 + 8n) + -1n = 209 (-2 * 4 + 8n * 4) + -1n = 209 (-8 + 32n) + -1n = 209 Combine like terms: 32n + -1n = 31n -8 + 31n = 209 Solving -8 + 31n = 209 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 31n = 209 + 8 Combine like terms: -8 + 8 = 0 0 + 31n = 209 + 8 31n = 209 + 8 Combine like terms: 209 + 8 = 217 31n = 217 Divide each side by '31'. n = 7 Simplifying n = 7
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