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Simplifying -0.3(6.5 + 6.8n) = -8.893(n + -1.5) (6.5 * -0.3 + 6.8n * -0.3) = -8.893(n + -1.5) (-1.95 + -2.04n) = -8.893(n + -1.5) Reorder the terms: -1.95 + -2.04n = -8.893(-1.5 + n) -1.95 + -2.04n = (-1.5 * -8.893 + n * -8.893) -1.95 + -2.04n = (13.3395 + -8.893n) Solving -1.95 + -2.04n = 13.3395 + -8.893n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8.893n' to each side of the equation. -1.95 + -2.04n + 8.893n = 13.3395 + -8.893n + 8.893n Combine like terms: -2.04n + 8.893n = 6.853n -1.95 + 6.853n = 13.3395 + -8.893n + 8.893n Combine like terms: -8.893n + 8.893n = 0.000 -1.95 + 6.853n = 13.3395 + 0.000 -1.95 + 6.853n = 13.3395 Add '1.95' to each side of the equation. -1.95 + 1.95 + 6.853n = 13.3395 + 1.95 Combine like terms: -1.95 + 1.95 = 0.00 0.00 + 6.853n = 13.3395 + 1.95 6.853n = 13.3395 + 1.95 Combine like terms: 13.3395 + 1.95 = 15.2895 6.853n = 15.2895 Divide each side by '6.853'. n = 2.231066686 Simplifying n = 2.231066686
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