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Simplifying 5(2c + 3) + -8 = 3(4c + 2) + -2c Reorder the terms: 5(3 + 2c) + -8 = 3(4c + 2) + -2c (3 * 5 + 2c * 5) + -8 = 3(4c + 2) + -2c (15 + 10c) + -8 = 3(4c + 2) + -2c Reorder the terms: 15 + -8 + 10c = 3(4c + 2) + -2c Combine like terms: 15 + -8 = 7 7 + 10c = 3(4c + 2) + -2c Reorder the terms: 7 + 10c = 3(2 + 4c) + -2c 7 + 10c = (2 * 3 + 4c * 3) + -2c 7 + 10c = (6 + 12c) + -2c Combine like terms: 12c + -2c = 10c 7 + 10c = 6 + 10c Add '-10c' to each side of the equation. 7 + 10c + -10c = 6 + 10c + -10c Combine like terms: 10c + -10c = 0 7 + 0 = 6 + 10c + -10c 7 = 6 + 10c + -10c Combine like terms: 10c + -10c = 0 7 = 6 + 0 7 = 6 Solving 7 = 6 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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