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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 = 14 -3.5n = 14 Divide each side by '-3.5'. n = -4 Simplifying n = -4
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