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Simplifying 3(1 + -3n) = 37 + 8n (1 * 3 + -3n * 3) = 37 + 8n (3 + -9n) = 37 + 8n Solving 3 + -9n = 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. 3 + -9n + -8n = 37 + 8n + -8n Combine like terms: -9n + -8n = -17n 3 + -17n = 37 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + -17n = 37 + 0 3 + -17n = 37 Add '-3' to each side of the equation. 3 + -3 + -17n = 37 + -3 Combine like terms: 3 + -3 = 0 0 + -17n = 37 + -3 -17n = 37 + -3 Combine like terms: 37 + -3 = 34 -17n = 34 Divide each side by '-17'. n = -2 Simplifying n = -2
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