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Simplifying 3n + 12 = 0.5(n + 14) Reorder the terms: 12 + 3n = 0.5(n + 14) Reorder the terms: 12 + 3n = 0.5(14 + n) 12 + 3n = (14 * 0.5 + n * 0.5) 12 + 3n = (7 + 0.5n) Solving 12 + 3n = 7 + 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 = 7 + 0.5n + -0.5n Combine like terms: 3n + -0.5n = 2.5n 12 + 2.5n = 7 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 12 + 2.5n = 7 + 0.0 12 + 2.5n = 7 Add '-12' to each side of the equation. 12 + -12 + 2.5n = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 2.5n = 7 + -12 2.5n = 7 + -12 Combine like terms: 7 + -12 = -5 2.5n = -5 Divide each side by '2.5'. n = -2 Simplifying n = -2
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