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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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