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Simplifying 0.75n = 5 + 5.5(n + 1) Reorder the terms: 0.75n = 5 + 5.5(1 + n) 0.75n = 5 + (1 * 5.5 + n * 5.5) 0.75n = 5 + (5.5 + 5.5n) Combine like terms: 5 + 5.5 = 10.5 0.75n = 10.5 + 5.5n Solving 0.75n = 10.5 + 5.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.5n' to each side of the equation. 0.75n + -5.5n = 10.5 + 5.5n + -5.5n Combine like terms: 0.75n + -5.5n = -4.75n -4.75n = 10.5 + 5.5n + -5.5n Combine like terms: 5.5n + -5.5n = 0.0 -4.75n = 10.5 + 0.0 -4.75n = 10.5 Divide each side by '-4.75'. n = -2.210526316 Simplifying n = -2.210526316
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