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Simplifying -0.5(-9.2 + 3n) = 0 (-9.2 * -0.5 + 3n * -0.5) = 0 (4.6 + -1.5n) = 0 Solving 4.6 + -1.5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.6' to each side of the equation. 4.6 + -4.6 + -1.5n = 0 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -1.5n = 0 + -4.6 -1.5n = 0 + -4.6 Combine like terms: 0 + -4.6 = -4.6 -1.5n = -4.6 Divide each side by '-1.5'. n = 3.066666667 Simplifying n = 3.066666667
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