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Simplifying 4a(6 + -7b) = 2c (6 * 4a + -7b * 4a) = 2c (24a + -28ab) = 2c Solving 24a + -28ab = 2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Combine like terms: 2c + -2c = 0 24a + -28ab + -2c = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12a + -14ab + -1c) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12a + -14ab + -1c)' equal to zero and attempt to solve: Simplifying 12a + -14ab + -1c = 0 Solving 12a + -14ab + -1c = 0 Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. 12a + -14ab + -1c + c = 0 + c Combine like terms: -1c + c = 0 12a + -14ab + 0 = 0 + c 12a + -14ab = 0 + c Remove the zero: 12a + -14ab = c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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