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Simplifying -40 + 8n = 4(1 + 5n) + 4 -40 + 8n = (1 * 4 + 5n * 4) + 4 -40 + 8n = (4 + 20n) + 4 Reorder the terms: -40 + 8n = 4 + 4 + 20n Combine like terms: 4 + 4 = 8 -40 + 8n = 8 + 20n Solving -40 + 8n = 8 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -40 + 8n + -20n = 8 + 20n + -20n Combine like terms: 8n + -20n = -12n -40 + -12n = 8 + 20n + -20n Combine like terms: 20n + -20n = 0 -40 + -12n = 8 + 0 -40 + -12n = 8 Add '40' to each side of the equation. -40 + 40 + -12n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -12n = 8 + 40 -12n = 8 + 40 Combine like terms: 8 + 40 = 48 -12n = 48 Divide each side by '-12'. n = -4 Simplifying n = -4
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