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Simplifying 32.19 = 2.9(3n + 2.7) Reorder the terms: 32.19 = 2.9(2.7 + 3n) 32.19 = (2.7 * 2.9 + 3n * 2.9) 32.19 = (7.83 + 8.7n) Solving 32.19 = 7.83 + 8.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.7n' to each side of the equation. 32.19 + -8.7n = 7.83 + 8.7n + -8.7n Combine like terms: 8.7n + -8.7n = 0.0 32.19 + -8.7n = 7.83 + 0.0 32.19 + -8.7n = 7.83 Add '-32.19' to each side of the equation. 32.19 + -32.19 + -8.7n = 7.83 + -32.19 Combine like terms: 32.19 + -32.19 = 0.00 0.00 + -8.7n = 7.83 + -32.19 -8.7n = 7.83 + -32.19 Combine like terms: 7.83 + -32.19 = -24.36 -8.7n = -24.36 Divide each side by '-8.7'. n = 2.8 Simplifying n = 2.8
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