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Simplifying 2a(-3b + c) = 12 (-3b * 2a + c * 2a) = 12 (-6ab + 2ac) = 12 Solving -6ab + 2ac = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -12 + -6ab + 2ac = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -6ab + 2ac = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -3ab + ac) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -3ab + ac)' equal to zero and attempt to solve: Simplifying -6 + -3ab + ac = 0 Solving -6 + -3ab + ac = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3ab + 6 + ac = 0 + 6 Reorder the terms: -6 + 6 + -3ab + ac = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3ab + ac = 0 + 6 -3ab + ac = 0 + 6 Combine like terms: 0 + 6 = 6 -3ab + ac = 6 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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