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Simplifying 10c + -2(c + 6) = 4(2c + 5) Reorder the terms: 10c + -2(6 + c) = 4(2c + 5) 10c + (6 * -2 + c * -2) = 4(2c + 5) 10c + (-12 + -2c) = 4(2c + 5) Reorder the terms: -12 + 10c + -2c = 4(2c + 5) Combine like terms: 10c + -2c = 8c -12 + 8c = 4(2c + 5) Reorder the terms: -12 + 8c = 4(5 + 2c) -12 + 8c = (5 * 4 + 2c * 4) -12 + 8c = (20 + 8c) Add '-8c' to each side of the equation. -12 + 8c + -8c = 20 + 8c + -8c Combine like terms: 8c + -8c = 0 -12 + 0 = 20 + 8c + -8c -12 = 20 + 8c + -8c Combine like terms: 8c + -8c = 0 -12 = 20 + 0 -12 = 20 Solving -12 = 20 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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