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Simplifying 3(1 + 5n) = 31 + n (1 * 3 + 5n * 3) = 31 + n (3 + 15n) = 31 + n Solving 3 + 15n = 31 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3 + 15n + -1n = 31 + n + -1n Combine like terms: 15n + -1n = 14n 3 + 14n = 31 + n + -1n Combine like terms: n + -1n = 0 3 + 14n = 31 + 0 3 + 14n = 31 Add '-3' to each side of the equation. 3 + -3 + 14n = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 14n = 31 + -3 14n = 31 + -3 Combine like terms: 31 + -3 = 28 14n = 28 Divide each side by '14'. n = 2 Simplifying n = 2
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