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Simplifying 0.34 + 5.5n + 5.6n = 5.2 + 6n Combine like terms: 5.5n + 5.6n = 11.1n 0.34 + 11.1n = 5.2 + 6n Solving 0.34 + 11.1n = 5.2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 0.34 + 11.1n + -6n = 5.2 + 6n + -6n Combine like terms: 11.1n + -6n = 5.1n 0.34 + 5.1n = 5.2 + 6n + -6n Combine like terms: 6n + -6n = 0 0.34 + 5.1n = 5.2 + 0 0.34 + 5.1n = 5.2 Add '-0.34' to each side of the equation. 0.34 + -0.34 + 5.1n = 5.2 + -0.34 Combine like terms: 0.34 + -0.34 = 0.00 0.00 + 5.1n = 5.2 + -0.34 5.1n = 5.2 + -0.34 Combine like terms: 5.2 + -0.34 = 4.86 5.1n = 4.86 Divide each side by '5.1'. n = 0.9529411765 Simplifying n = 0.9529411765
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