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Simplifying 4(5n + 4) = 31 + 5n Reorder the terms: 4(4 + 5n) = 31 + 5n (4 * 4 + 5n * 4) = 31 + 5n (16 + 20n) = 31 + 5n Solving 16 + 20n = 31 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 16 + 20n + -5n = 31 + 5n + -5n Combine like terms: 20n + -5n = 15n 16 + 15n = 31 + 5n + -5n Combine like terms: 5n + -5n = 0 16 + 15n = 31 + 0 16 + 15n = 31 Add '-16' to each side of the equation. 16 + -16 + 15n = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 15n = 31 + -16 15n = 31 + -16 Combine like terms: 31 + -16 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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