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