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Simplifying 5(7 + 4n) = -37 + 8n (7 * 5 + 4n * 5) = -37 + 8n (35 + 20n) = -37 + 8n Solving 35 + 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. 35 + 20n + -8n = -37 + 8n + -8n Combine like terms: 20n + -8n = 12n 35 + 12n = -37 + 8n + -8n Combine like terms: 8n + -8n = 0 35 + 12n = -37 + 0 35 + 12n = -37 Add '-35' to each side of the equation. 35 + -35 + 12n = -37 + -35 Combine like terms: 35 + -35 = 0 0 + 12n = -37 + -35 12n = -37 + -35 Combine like terms: -37 + -35 = -72 12n = -72 Divide each side by '12'. n = -6 Simplifying n = -6
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