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Simplifying 0.5n + -5 = 3n + -25 Reorder the terms: -5 + 0.5n = 3n + -25 Reorder the terms: -5 + 0.5n = -25 + 3n Solving -5 + 0.5n = -25 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 0.5n + -3n = -25 + 3n + -3n Combine like terms: 0.5n + -3n = -2.5n -5 + -2.5n = -25 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + -2.5n = -25 + 0 -5 + -2.5n = -25 Add '5' to each side of the equation. -5 + 5 + -2.5n = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -2.5n = -25 + 5 -2.5n = -25 + 5 Combine like terms: -25 + 5 = -20 -2.5n = -20 Divide each side by '-2.5'. n = 8 Simplifying n = 8
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