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Simplifying 5(3n + 10) = 40n Reorder the terms: 5(10 + 3n) = 40n (10 * 5 + 3n * 5) = 40n (50 + 15n) = 40n Solving 50 + 15n = 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. 50 + 15n + -40n = 40n + -40n Combine like terms: 15n + -40n = -25n 50 + -25n = 40n + -40n Combine like terms: 40n + -40n = 0 50 + -25n = 0 Add '-50' to each side of the equation. 50 + -50 + -25n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -25n = 0 + -50 -25n = 0 + -50 Combine like terms: 0 + -50 = -50 -25n = -50 Divide each side by '-25'. n = 2 Simplifying n = 2
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