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Simplifying 3(0.6 + 2n) + -3.2 = 9.7 (0.6 * 3 + 2n * 3) + -3.2 = 9.7 (1.8 + 6n) + -3.2 = 9.7 Reorder the terms: 1.8 + -3.2 + 6n = 9.7 Combine like terms: 1.8 + -3.2 = -1.4 -1.4 + 6n = 9.7 Solving -1.4 + 6n = 9.7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + 6n = 9.7 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 6n = 9.7 + 1.4 6n = 9.7 + 1.4 Combine like terms: 9.7 + 1.4 = 11.1 6n = 11.1 Divide each side by '6'. n = 1.85 Simplifying n = 1.85
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