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Simplifying n + 0.6 + n + n + 0.6 = n + 0.1 + 2n + n + 0.1 + 2n Reorder the terms: 0.6 + 0.6 + n + n + n = n + 0.1 + 2n + n + 0.1 + 2n Combine like terms: 0.6 + 0.6 = 1.2 1.2 + n + n + n = n + 0.1 + 2n + n + 0.1 + 2n Combine like terms: n + n = 2n 1.2 + 2n + n = n + 0.1 + 2n + n + 0.1 + 2n Combine like terms: 2n + n = 3n 1.2 + 3n = n + 0.1 + 2n + n + 0.1 + 2n Reorder the terms: 1.2 + 3n = 0.1 + 0.1 + n + 2n + n + 2n Combine like terms: 0.1 + 0.1 = 0.2 1.2 + 3n = 0.2 + n + 2n + n + 2n Combine like terms: n + 2n = 3n 1.2 + 3n = 0.2 + 3n + n + 2n Combine like terms: 3n + n = 4n 1.2 + 3n = 0.2 + 4n + 2n Combine like terms: 4n + 2n = 6n 1.2 + 3n = 0.2 + 6n Solving 1.2 + 3n = 0.2 + 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. 1.2 + 3n + -6n = 0.2 + 6n + -6n Combine like terms: 3n + -6n = -3n 1.2 + -3n = 0.2 + 6n + -6n Combine like terms: 6n + -6n = 0 1.2 + -3n = 0.2 + 0 1.2 + -3n = 0.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -3n = 0.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -3n = 0.2 + -1.2 -3n = 0.2 + -1.2 Combine like terms: 0.2 + -1.2 = -1 -3n = -1 Divide each side by '-3'. n = 0.3333333333 Simplifying n = 0.3333333333
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