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Simplifying 2n + 3 = 0.5n + 12 Reorder the terms: 3 + 2n = 0.5n + 12 Reorder the terms: 3 + 2n = 12 + 0.5n Solving 3 + 2n = 12 + 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. 3 + 2n + -0.5n = 12 + 0.5n + -0.5n Combine like terms: 2n + -0.5n = 1.5n 3 + 1.5n = 12 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 3 + 1.5n = 12 + 0.0 3 + 1.5n = 12 Add '-3' to each side of the equation. 3 + -3 + 1.5n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5n = 12 + -3 1.5n = 12 + -3 Combine like terms: 12 + -3 = 9 1.5n = 9 Divide each side by '1.5'. n = 6 Simplifying n = 6
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