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Simplifying -4(4 + -3af) = -32 + 8a (4 * -4 + -3af * -4) = -32 + 8a (-16 + 12af) = -32 + 8a Solving -16 + 12af = -32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -16 + -8a + 12af = -32 + 8a + -8a Combine like terms: 8a + -8a = 0 -16 + -8a + 12af = -32 + 0 -16 + -8a + 12af = -32 Add '16' to each side of the equation. -16 + -8a + 16 + 12af = -32 + 16 Reorder the terms: -16 + 16 + -8a + 12af = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -8a + 12af = -32 + 16 -8a + 12af = -32 + 16 Combine like terms: -32 + 16 = -16 -8a + 12af = -16 Reorder the terms: 16 + -8a + 12af = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -8a + 12af = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -2a + 3af) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -2a + 3af)' equal to zero and attempt to solve: Simplifying 4 + -2a + 3af = 0 Solving 4 + -2a + 3af = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2a + -4 + 3af = 0 + -4 Reorder the terms: 4 + -4 + -2a + 3af = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2a + 3af = 0 + -4 -2a + 3af = 0 + -4 Combine like terms: 0 + -4 = -4 -2a + 3af = -4 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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