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Simplifying -8.5 + -4(1 + 2n) = 27.5 -8.5 + (1 * -4 + 2n * -4) = 27.5 -8.5 + (-4 + -8n) = 27.5 Combine like terms: -8.5 + -4 = -12.5 -12.5 + -8n = 27.5 Solving -12.5 + -8n = 27.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + -8n = 27.5 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + -8n = 27.5 + 12.5 -8n = 27.5 + 12.5 Combine like terms: 27.5 + 12.5 = 40 -8n = 40 Divide each side by '-8'. n = -5 Simplifying n = -5
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