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Simplifying 3n + 4 = 0.5n + -8 Reorder the terms: 4 + 3n = 0.5n + -8 Reorder the terms: 4 + 3n = -8 + 0.5n Solving 4 + 3n = -8 + 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. 4 + 3n + -0.5n = -8 + 0.5n + -0.5n Combine like terms: 3n + -0.5n = 2.5n 4 + 2.5n = -8 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 4 + 2.5n = -8 + 0.0 4 + 2.5n = -8 Add '-4' to each side of the equation. 4 + -4 + 2.5n = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5n = -8 + -4 2.5n = -8 + -4 Combine like terms: -8 + -4 = -12 2.5n = -12 Divide each side by '2.5'. n = -4.8 Simplifying n = -4.8
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