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Simplifying 0.4n + 1 = 0.6666667n + 3 Reorder the terms: 1 + 0.4n = 0.6666667n + 3 Reorder the terms: 1 + 0.4n = 3 + 0.6666667n Solving 1 + 0.4n = 3 + 0.6666667n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6666667n' to each side of the equation. 1 + 0.4n + -0.6666667n = 3 + 0.6666667n + -0.6666667n Combine like terms: 0.4n + -0.6666667n = -0.2666667n 1 + -0.2666667n = 3 + 0.6666667n + -0.6666667n Combine like terms: 0.6666667n + -0.6666667n = 0.0000000 1 + -0.2666667n = 3 + 0.0000000 1 + -0.2666667n = 3 Add '-1' to each side of the equation. 1 + -1 + -0.2666667n = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2666667n = 3 + -1 -0.2666667n = 3 + -1 Combine like terms: 3 + -1 = 2 -0.2666667n = 2 Divide each side by '-0.2666667'. n = -7.499999063 Simplifying n = -7.499999063
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