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Simplifying 2.4(5c + -4) = 7c + -5(1 + -1c) Reorder the terms: 2.4(-4 + 5c) = 7c + -5(1 + -1c) (-4 * 2.4 + 5c * 2.4) = 7c + -5(1 + -1c) (-9.6 + 12c) = 7c + -5(1 + -1c) -9.6 + 12c = 7c + (1 * -5 + -1c * -5) -9.6 + 12c = 7c + (-5 + 5c) Reorder the terms: -9.6 + 12c = -5 + 7c + 5c Combine like terms: 7c + 5c = 12c -9.6 + 12c = -5 + 12c Add '-12c' to each side of the equation. -9.6 + 12c + -12c = -5 + 12c + -12c Combine like terms: 12c + -12c = 0 -9.6 + 0 = -5 + 12c + -12c -9.6 = -5 + 12c + -12c Combine like terms: 12c + -12c = 0 -9.6 = -5 + 0 -9.6 = -5 Solving -9.6 = -5 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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