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Simplifying 3(4ax + y) = 2a + -3y (4ax * 3 + y * 3) = 2a + -3y (12ax + 3y) = 2a + -3y Solving 12ax + 3y = 2a + -3y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12ax + -2a + 3y = 2a + -2a + -3y Reorder the terms: -2a + 12ax + 3y = 2a + -2a + -3y Combine like terms: 2a + -2a = 0 -2a + 12ax + 3y = 0 + -3y -2a + 12ax + 3y = -3y Add '-3y' to each side of the equation. -2a + 12ax + 3y + -3y = -3y + -3y Combine like terms: 3y + -3y = 0 -2a + 12ax + 0 = -3y + -3y -2a + 12ax = -3y + -3y Combine like terms: -3y + -3y = -6y -2a + 12ax = -6y Combine like terms: -6y + 6y = 0 -2a + 12ax + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1a + 6ax + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + 6ax + 3y)' equal to zero and attempt to solve: Simplifying -1a + 6ax + 3y = 0 Solving -1a + 6ax + 3y = 0 Move all terms containing a to the left, all other terms to the right. Add '-3y' to each side of the equation. -1a + 6ax + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1a + 6ax + 0 = 0 + -3y -1a + 6ax = 0 + -3y Remove the zero: -1a + 6ax = -3y 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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