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Simplifying 0.05n + 0.01n + 0.05(4n) + 0.25(n + 3) = 6.14 Remove parenthesis around (4n) 0.05n + 0.01n + 0.05 * 4n + 0.25(n + 3) = 6.14 Multiply 0.05 * 4 0.05n + 0.01n + 0.2n + 0.25(n + 3) = 6.14 Reorder the terms: 0.05n + 0.01n + 0.2n + 0.25(3 + n) = 6.14 0.05n + 0.01n + 0.2n + (3 * 0.25 + n * 0.25) = 6.14 0.05n + 0.01n + 0.2n + (0.75 + 0.25n) = 6.14 Reorder the terms: 0.75 + 0.05n + 0.01n + 0.2n + 0.25n = 6.14 Combine like terms: 0.05n + 0.01n = 0.06n 0.75 + 0.06n + 0.2n + 0.25n = 6.14 Combine like terms: 0.06n + 0.2n = 0.26n 0.75 + 0.26n + 0.25n = 6.14 Combine like terms: 0.26n + 0.25n = 0.51n 0.75 + 0.51n = 6.14 Solving 0.75 + 0.51n = 6.14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.51n = 6.14 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.51n = 6.14 + -0.75 0.51n = 6.14 + -0.75 Combine like terms: 6.14 + -0.75 = 5.39 0.51n = 5.39 Divide each side by '0.51'. n = 10.56862745 Simplifying n = 10.56862745
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