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Simplifying 0.5(2n + -6) = 12 + -0.25n Reorder the terms: 0.5(-6 + 2n) = 12 + -0.25n (-6 * 0.5 + 2n * 0.5) = 12 + -0.25n (-3 + 1n) = 12 + -0.25n Solving -3 + 1n = 12 + -0.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.25n' to each side of the equation. -3 + 1n + 0.25n = 12 + -0.25n + 0.25n Combine like terms: 1n + 0.25n = 1.25n -3 + 1.25n = 12 + -0.25n + 0.25n Combine like terms: -0.25n + 0.25n = 0.00 -3 + 1.25n = 12 + 0.00 -3 + 1.25n = 12 Add '3' to each side of the equation. -3 + 3 + 1.25n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1.25n = 12 + 3 1.25n = 12 + 3 Combine like terms: 12 + 3 = 15 1.25n = 15 Divide each side by '1.25'. n = 12 Simplifying n = 12
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