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Simplifying 0.2(3n + 4) + -5n = 2.2(4 + -2n) + -3.4 Reorder the terms: 0.2(4 + 3n) + -5n = 2.2(4 + -2n) + -3.4 (4 * 0.2 + 3n * 0.2) + -5n = 2.2(4 + -2n) + -3.4 (0.8 + 0.6n) + -5n = 2.2(4 + -2n) + -3.4 Combine like terms: 0.6n + -5n = -4.4n 0.8 + -4.4n = 2.2(4 + -2n) + -3.4 0.8 + -4.4n = (4 * 2.2 + -2n * 2.2) + -3.4 0.8 + -4.4n = (8.8 + -4.4n) + -3.4 Reorder the terms: 0.8 + -4.4n = 8.8 + -3.4 + -4.4n Combine like terms: 8.8 + -3.4 = 5.4 0.8 + -4.4n = 5.4 + -4.4n Add '4.4n' to each side of the equation. 0.8 + -4.4n + 4.4n = 5.4 + -4.4n + 4.4n Combine like terms: -4.4n + 4.4n = 0.0 0.8 + 0.0 = 5.4 + -4.4n + 4.4n 0.8 = 5.4 + -4.4n + 4.4n Combine like terms: -4.4n + 4.4n = 0.0 0.8 = 5.4 + 0.0 0.8 = 5.4 Solving 0.8 = 5.4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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