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