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Simplifying 5a + 4(3am + -8) = 4 + 13a Reorder the terms: 5a + 4(-8 + 3am) = 4 + 13a 5a + (-8 * 4 + 3am * 4) = 4 + 13a 5a + (-32 + 12am) = 4 + 13a Reorder the terms: -32 + 5a + 12am = 4 + 13a Solving -32 + 5a + 12am = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -32 + 5a + -13a + 12am = 4 + 13a + -13a Combine like terms: 5a + -13a = -8a -32 + -8a + 12am = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -32 + -8a + 12am = 4 + 0 -32 + -8a + 12am = 4 Add '32' to each side of the equation. -32 + -8a + 32 + 12am = 4 + 32 Reorder the terms: -32 + 32 + -8a + 12am = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -8a + 12am = 4 + 32 -8a + 12am = 4 + 32 Combine like terms: 4 + 32 = 36 -8a + 12am = 36 Reorder the terms: -36 + -8a + 12am = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -8a + 12am = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + -2a + 3am) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -2a + 3am)' equal to zero and attempt to solve: Simplifying -9 + -2a + 3am = 0 Solving -9 + -2a + 3am = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2a + 9 + 3am = 0 + 9 Reorder the terms: -9 + 9 + -2a + 3am = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2a + 3am = 0 + 9 -2a + 3am = 0 + 9 Combine like terms: 0 + 9 = 9 -2a + 3am = 9 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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