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Simplifying 0.5(c + -6) + c = 0.25(6c + 8) Reorder the terms: 0.5(-6 + c) + c = 0.25(6c + 8) (-6 * 0.5 + c * 0.5) + c = 0.25(6c + 8) (-3 + 0.5c) + c = 0.25(6c + 8) Combine like terms: 0.5c + c = 1.5c -3 + 1.5c = 0.25(6c + 8) Reorder the terms: -3 + 1.5c = 0.25(8 + 6c) -3 + 1.5c = (8 * 0.25 + 6c * 0.25) -3 + 1.5c = (2 + 1.5c) Add '-1.5c' to each side of the equation. -3 + 1.5c + -1.5c = 2 + 1.5c + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 -3 + 0.0 = 2 + 1.5c + -1.5c -3 = 2 + 1.5c + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 -3 = 2 + 0.0 -3 = 2 Solving -3 = 2 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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