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Simplifying -5 + 4(1 + -5n) = -37 + -8n -5 + (1 * 4 + -5n * 4) = -37 + -8n -5 + (4 + -20n) = -37 + -8n Combine like terms: -5 + 4 = -1 -1 + -20n = -37 + -8n Solving -1 + -20n = -37 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -1 + -20n + 8n = -37 + -8n + 8n Combine like terms: -20n + 8n = -12n -1 + -12n = -37 + -8n + 8n Combine like terms: -8n + 8n = 0 -1 + -12n = -37 + 0 -1 + -12n = -37 Add '1' to each side of the equation. -1 + 1 + -12n = -37 + 1 Combine like terms: -1 + 1 = 0 0 + -12n = -37 + 1 -12n = -37 + 1 Combine like terms: -37 + 1 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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