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Simplifying 5 + 4(2n + -9) = 1 Reorder the terms: 5 + 4(-9 + 2n) = 1 5 + (-9 * 4 + 2n * 4) = 1 5 + (-36 + 8n) = 1 Combine like terms: 5 + -36 = -31 -31 + 8n = 1 Solving -31 + 8n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 8n = 1 + 31 Combine like terms: -31 + 31 = 0 0 + 8n = 1 + 31 8n = 1 + 31 Combine like terms: 1 + 31 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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