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Simplifying -4.5(3n + -5) = 26.5 + 8n Reorder the terms: -4.5(-5 + 3n) = 26.5 + 8n (-5 * -4.5 + 3n * -4.5) = 26.5 + 8n (22.5 + -13.5n) = 26.5 + 8n Solving 22.5 + -13.5n = 26.5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 22.5 + -13.5n + -8n = 26.5 + 8n + -8n Combine like terms: -13.5n + -8n = -21.5n 22.5 + -21.5n = 26.5 + 8n + -8n Combine like terms: 8n + -8n = 0 22.5 + -21.5n = 26.5 + 0 22.5 + -21.5n = 26.5 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -21.5n = 26.5 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -21.5n = 26.5 + -22.5 -21.5n = 26.5 + -22.5 Combine like terms: 26.5 + -22.5 = 4 -21.5n = 4 Divide each side by '-21.5'. n = -0.1860465116 Simplifying n = -0.1860465116
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