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Simplifying 367.23 = 7.47(4.8 + 6.5n) + 1.2 367.23 = (4.8 * 7.47 + 6.5n * 7.47) + 1.2 367.23 = (35.856 + 48.555n) + 1.2 Reorder the terms: 367.23 = 35.856 + 1.2 + 48.555n Combine like terms: 35.856 + 1.2 = 37.056 367.23 = 37.056 + 48.555n Solving 367.23 = 37.056 + 48.555n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48.555n' to each side of the equation. 367.23 + -48.555n = 37.056 + 48.555n + -48.555n Combine like terms: 48.555n + -48.555n = 0.000 367.23 + -48.555n = 37.056 + 0.000 367.23 + -48.555n = 37.056 Add '-367.23' to each side of the equation. 367.23 + -367.23 + -48.555n = 37.056 + -367.23 Combine like terms: 367.23 + -367.23 = 0.00 0.00 + -48.555n = 37.056 + -367.23 -48.555n = 37.056 + -367.23 Combine like terms: 37.056 + -367.23 = -330.174 -48.555n = -330.174 Divide each side by '-48.555'. n = 6.8 Simplifying n = 6.8
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