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Simplifying 0.5n + 9 = 4n + 5 Reorder the terms: 9 + 0.5n = 4n + 5 Reorder the terms: 9 + 0.5n = 5 + 4n Solving 9 + 0.5n = 5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 9 + 0.5n + -4n = 5 + 4n + -4n Combine like terms: 0.5n + -4n = -3.5n 9 + -3.5n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + -3.5n = 5 + 0 9 + -3.5n = 5 Add '-9' to each side of the equation. 9 + -9 + -3.5n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -3.5n = 5 + -9 -3.5n = 5 + -9 Combine like terms: 5 + -9 = -4 -3.5n = -4 Divide each side by '-3.5'. n = 1.142857143 Simplifying n = 1.142857143
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