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Simplifying 6.4n + -10 = 4.4n + 6 Reorder the terms: -10 + 6.4n = 4.4n + 6 Reorder the terms: -10 + 6.4n = 6 + 4.4n Solving -10 + 6.4n = 6 + 4.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.4n' to each side of the equation. -10 + 6.4n + -4.4n = 6 + 4.4n + -4.4n Combine like terms: 6.4n + -4.4n = 2n -10 + 2n = 6 + 4.4n + -4.4n Combine like terms: 4.4n + -4.4n = 0.0 -10 + 2n = 6 + 0.0 -10 + 2n = 6 Add '10' to each side of the equation. -10 + 10 + 2n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 6 + 10 2n = 6 + 10 Combine like terms: 6 + 10 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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