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Simplifying 5(-3 + 4c) = 4(2c + 4) + 12c (-3 * 5 + 4c * 5) = 4(2c + 4) + 12c (-15 + 20c) = 4(2c + 4) + 12c Reorder the terms: -15 + 20c = 4(4 + 2c) + 12c -15 + 20c = (4 * 4 + 2c * 4) + 12c -15 + 20c = (16 + 8c) + 12c Combine like terms: 8c + 12c = 20c -15 + 20c = 16 + 20c Add '-20c' to each side of the equation. -15 + 20c + -20c = 16 + 20c + -20c Combine like terms: 20c + -20c = 0 -15 + 0 = 16 + 20c + -20c -15 = 16 + 20c + -20c Combine like terms: 20c + -20c = 0 -15 = 16 + 0 -15 = 16 Solving -15 = 16 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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