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Simplifying 8(4 + -1a) = 2ay (4 * 8 + -1a * 8) = 2ay (32 + -8a) = 2ay Solving 32 + -8a = 2ay Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ay' to each side of the equation. 32 + -8a + -2ay = 2ay + -2ay Combine like terms: 2ay + -2ay = 0 32 + -8a + -2ay = 0 Add '-32' to each side of the equation. 32 + -8a + -32 + -2ay = 0 + -32 Reorder the terms: 32 + -32 + -8a + -2ay = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -8a + -2ay = 0 + -32 -8a + -2ay = 0 + -32 Combine like terms: 0 + -32 = -32 -8a + -2ay = -32 Reorder the terms: 32 + -8a + -2ay = -32 + 32 Combine like terms: -32 + 32 = 0 32 + -8a + -2ay = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -4a + -1ay) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + -4a + -1ay)' equal to zero and attempt to solve: Simplifying 16 + -4a + -1ay = 0 Solving 16 + -4a + -1ay = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4a + -16 + -1ay = 0 + -16 Reorder the terms: 16 + -16 + -4a + -1ay = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4a + -1ay = 0 + -16 -4a + -1ay = 0 + -16 Combine like terms: 0 + -16 = -16 -4a + -1ay = -16 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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