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Simplifying 3(3n + 10) = 40n Reorder the terms: 3(10 + 3n) = 40n (10 * 3 + 3n * 3) = 40n (30 + 9n) = 40n Solving 30 + 9n = 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 30 + 9n + -40n = 40n + -40n Combine like terms: 9n + -40n = -31n 30 + -31n = 40n + -40n Combine like terms: 40n + -40n = 0 30 + -31n = 0 Add '-30' to each side of the equation. 30 + -30 + -31n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -31n = 0 + -30 -31n = 0 + -30 Combine like terms: 0 + -30 = -30 -31n = -30 Divide each side by '-31'. n = 0.9677419355 Simplifying n = 0.9677419355
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