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Simplifying 4n + -7 = 0.5n + 9 Reorder the terms: -7 + 4n = 0.5n + 9 Reorder the terms: -7 + 4n = 9 + 0.5n Solving -7 + 4n = 9 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. -7 + 4n + -0.5n = 9 + 0.5n + -0.5n Combine like terms: 4n + -0.5n = 3.5n -7 + 3.5n = 9 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -7 + 3.5n = 9 + 0.0 -7 + 3.5n = 9 Add '7' to each side of the equation. -7 + 7 + 3.5n = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 3.5n = 9 + 7 3.5n = 9 + 7 Combine like terms: 9 + 7 = 16 3.5n = 16 Divide each side by '3.5'. n = 4.571428571 Simplifying n = 4.571428571
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