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Simplifying 0.49(n + -24) = 0.8n Reorder the terms: 0.49(-24 + n) = 0.8n (-24 * 0.49 + n * 0.49) = 0.8n (-11.76 + 0.49n) = 0.8n Solving -11.76 + 0.49n = 0.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.8n' to each side of the equation. -11.76 + 0.49n + -0.8n = 0.8n + -0.8n Combine like terms: 0.49n + -0.8n = -0.31n -11.76 + -0.31n = 0.8n + -0.8n Combine like terms: 0.8n + -0.8n = 0.0 -11.76 + -0.31n = 0.0 Add '11.76' to each side of the equation. -11.76 + 11.76 + -0.31n = 0.0 + 11.76 Combine like terms: -11.76 + 11.76 = 0.00 0.00 + -0.31n = 0.0 + 11.76 -0.31n = 0.0 + 11.76 Combine like terms: 0.0 + 11.76 = 11.76 -0.31n = 11.76 Divide each side by '-0.31'. n = -37.93548387 Simplifying n = -37.93548387
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