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Simplifying f(7a) = 7a + -7 Remove parenthesis around (7a) f * 7a = 7a + -7 Reorder the terms for easier multiplication: 7f * a = 7a + -7 Multiply f * a 7af = 7a + -7 Reorder the terms: 7af = -7 + 7a Solving 7af = -7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -7a + 7af = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 -7a + 7af = -7 + 0 -7a + 7af = -7 Reorder the terms: 7 + -7a + 7af = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -7a + 7af = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1 + -1a + af) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -1a + af)' equal to zero and attempt to solve: Simplifying 1 + -1a + af = 0 Solving 1 + -1a + af = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1a + -1 + af = 0 + -1 Reorder the terms: 1 + -1 + -1a + af = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a + af = 0 + -1 -1a + af = 0 + -1 Combine like terms: 0 + -1 = -1 -1a + af = -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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