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Simplifying 5 + -0.5 = 5 + 4n Combine like terms: 5 + -0.5 = 4.5 4.5 = 5 + 4n Solving 4.5 = 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. 4.5 + -4n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 4.5 + -4n = 5 + 0 4.5 + -4n = 5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -4n = 5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -4n = 5 + -4.5 -4n = 5 + -4.5 Combine like terms: 5 + -4.5 = 0.5 -4n = 0.5 Divide each side by '-4'. n = -0.125 Simplifying n = -0.125
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