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Simplifying 8.4n + -6.8 = 14.2 + 6.3n Reorder the terms: -6.8 + 8.4n = 14.2 + 6.3n Solving -6.8 + 8.4n = 14.2 + 6.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.3n' to each side of the equation. -6.8 + 8.4n + -6.3n = 14.2 + 6.3n + -6.3n Combine like terms: 8.4n + -6.3n = 2.1n -6.8 + 2.1n = 14.2 + 6.3n + -6.3n Combine like terms: 6.3n + -6.3n = 0.0 -6.8 + 2.1n = 14.2 + 0.0 -6.8 + 2.1n = 14.2 Add '6.8' to each side of the equation. -6.8 + 6.8 + 2.1n = 14.2 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + 2.1n = 14.2 + 6.8 2.1n = 14.2 + 6.8 Combine like terms: 14.2 + 6.8 = 21 2.1n = 21 Divide each side by '2.1'. n = 10 Simplifying n = 10
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