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Simplifying 4 + 5(1 + 3n) = 32 4 + (1 * 5 + 3n * 5) = 32 4 + (5 + 15n) = 32 Combine like terms: 4 + 5 = 9 9 + 15n = 32 Solving 9 + 15n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 15n = 32 + -9 Combine like terms: 9 + -9 = 0 0 + 15n = 32 + -9 15n = 32 + -9 Combine like terms: 32 + -9 = 23 15n = 23 Divide each side by '15'. n = 1.533333333 Simplifying n = 1.533333333
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