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Simplifying -5.2(5.84n + -5) + 4.8n = -118.152384 Reorder the terms: -5.2(-5 + 5.84n) + 4.8n = -118.152384 (-5 * -5.2 + 5.84n * -5.2) + 4.8n = -118.152384 (26 + -30.368n) + 4.8n = -118.152384 Combine like terms: -30.368n + 4.8n = -25.568n 26 + -25.568n = -118.152384 Solving 26 + -25.568n = -118.152384 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -25.568n = -118.152384 + -26 Combine like terms: 26 + -26 = 0 0 + -25.568n = -118.152384 + -26 -25.568n = -118.152384 + -26 Combine like terms: -118.152384 + -26 = -144.152384 -25.568n = -144.152384 Divide each side by '-25.568'. n = 5.638 Simplifying n = 5.638
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