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Simplifying 6a + 3(5am + -4) = 12(2a + -5) Reorder the terms: 6a + 3(-4 + 5am) = 12(2a + -5) 6a + (-4 * 3 + 5am * 3) = 12(2a + -5) 6a + (-12 + 15am) = 12(2a + -5) Reorder the terms: -12 + 6a + 15am = 12(2a + -5) Reorder the terms: -12 + 6a + 15am = 12(-5 + 2a) -12 + 6a + 15am = (-5 * 12 + 2a * 12) -12 + 6a + 15am = (-60 + 24a) Solving -12 + 6a + 15am = -60 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -12 + 6a + -24a + 15am = -60 + 24a + -24a Combine like terms: 6a + -24a = -18a -12 + -18a + 15am = -60 + 24a + -24a Combine like terms: 24a + -24a = 0 -12 + -18a + 15am = -60 + 0 -12 + -18a + 15am = -60 Add '12' to each side of the equation. -12 + -18a + 12 + 15am = -60 + 12 Reorder the terms: -12 + 12 + -18a + 15am = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -18a + 15am = -60 + 12 -18a + 15am = -60 + 12 Combine like terms: -60 + 12 = -48 -18a + 15am = -48 Reorder the terms: 48 + -18a + 15am = -48 + 48 Combine like terms: -48 + 48 = 0 48 + -18a + 15am = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -6a + 5am) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(16 + -6a + 5am)' equal to zero and attempt to solve: Simplifying 16 + -6a + 5am = 0 Solving 16 + -6a + 5am = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -6a + -16 + 5am = 0 + -16 Reorder the terms: 16 + -16 + -6a + 5am = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6a + 5am = 0 + -16 -6a + 5am = 0 + -16 Combine like terms: 0 + -16 = -16 -6a + 5am = -16 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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