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Simplifying 3n + 4 = 8 + -0.5n 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 = 3.5n 4 + 3.5n = 8 + -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 4 + 3.5n = 8 + 0.0 4 + 3.5n = 8 Add '-4' to each side of the equation. 4 + -4 + 3.5n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5n = 8 + -4 3.5n = 8 + -4 Combine like terms: 8 + -4 = 4 3.5n = 4 Divide each side by '3.5'. n = 1.142857143 Simplifying n = 1.142857143
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