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Simplifying 2(n + (n + 0.6)) = 2(2n + (n + 0.1)) Reorder the terms: 2(n + (0.6 + n)) = 2(2n + (n + 0.1)) Remove parenthesis around (0.6 + n) 2(n + 0.6 + n) = 2(2n + (n + 0.1)) Reorder the terms: 2(0.6 + n + n) = 2(2n + (n + 0.1)) Combine like terms: n + n = 2n 2(0.6 + 2n) = 2(2n + (n + 0.1)) (0.6 * 2 + 2n * 2) = 2(2n + (n + 0.1)) (1.2 + 4n) = 2(2n + (n + 0.1)) Reorder the terms: 1.2 + 4n = 2(2n + (0.1 + n)) Remove parenthesis around (0.1 + n) 1.2 + 4n = 2(2n + 0.1 + n) Reorder the terms: 1.2 + 4n = 2(0.1 + 2n + n) Combine like terms: 2n + n = 3n 1.2 + 4n = 2(0.1 + 3n) 1.2 + 4n = (0.1 * 2 + 3n * 2) 1.2 + 4n = (0.2 + 6n) Solving 1.2 + 4n = 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 + 4n + -6n = 0.2 + 6n + -6n Combine like terms: 4n + -6n = -2n 1.2 + -2n = 0.2 + 6n + -6n Combine like terms: 6n + -6n = 0 1.2 + -2n = 0.2 + 0 1.2 + -2n = 0.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -2n = 0.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2n = 0.2 + -1.2 -2n = 0.2 + -1.2 Combine like terms: 0.2 + -1.2 = -1 -2n = -1 Divide each side by '-2'. n = 0.5 Simplifying n = 0.5
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