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Simplifying 3(n + 4) = 8 + -0.5n Reorder the terms: 3(4 + n) = 8 + -0.5n (4 * 3 + n * 3) = 8 + -0.5n (12 + 3n) = 8 + -0.5n Solving 12 + 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. 12 + 3n + 0.5n = 8 + -0.5n + 0.5n Combine like terms: 3n + 0.5n = 3.5n 12 + 3.5n = 8 + -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 12 + 3.5n = 8 + 0.0 12 + 3.5n = 8 Add '-12' to each side of the equation. 12 + -12 + 3.5n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 3.5n = 8 + -12 3.5n = 8 + -12 Combine like terms: 8 + -12 = -4 3.5n = -4 Divide each side by '3.5'. n = -1.142857143 Simplifying n = -1.142857143
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