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Simplifying 0.5 + -9 = 5 + 4n Combine like terms: 0.5 + -9 = -8.5 -8.5 = 5 + 4n Solving -8.5 = 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. -8.5 + -4n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -8.5 + -4n = 5 + 0 -8.5 + -4n = 5 Add '8.5' to each side of the equation. -8.5 + 8.5 + -4n = 5 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -4n = 5 + 8.5 -4n = 5 + 8.5 Combine like terms: 5 + 8.5 = 13.5 -4n = 13.5 Divide each side by '-4'. n = -3.375 Simplifying n = -3.375
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