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Simplifying 0.5(n + -3) + 12 = 45 Reorder the terms: 0.5(-3 + n) + 12 = 45 (-3 * 0.5 + n * 0.5) + 12 = 45 (-1.5 + 0.5n) + 12 = 45 Reorder the terms: -1.5 + 12 + 0.5n = 45 Combine like terms: -1.5 + 12 = 10.5 10.5 + 0.5n = 45 Solving 10.5 + 0.5n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 0.5n = 45 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.5n = 45 + -10.5 0.5n = 45 + -10.5 Combine like terms: 45 + -10.5 = 34.5 0.5n = 34.5 Divide each side by '0.5'. n = 69 Simplifying n = 69
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