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Simplifying 5(1 + 3n) = 32 + 6n (1 * 5 + 3n * 5) = 32 + 6n (5 + 15n) = 32 + 6n Solving 5 + 15n = 32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + 15n + -6n = 32 + 6n + -6n Combine like terms: 15n + -6n = 9n 5 + 9n = 32 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + 9n = 32 + 0 5 + 9n = 32 Add '-5' to each side of the equation. 5 + -5 + 9n = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 32 + -5 9n = 32 + -5 Combine like terms: 32 + -5 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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