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Simplifying -12 + -5(6 + -2m) * a = 18 Reorder the terms for easier multiplication: -12 + -5a(6 + -2m) = 18 -12 + (6 * -5a + -2m * -5a) = 18 -12 + (-30a + 10am) = 18 Solving -12 + -30a + 10am = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -30a + 12 + 10am = 18 + 12 Reorder the terms: -12 + 12 + -30a + 10am = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -30a + 10am = 18 + 12 -30a + 10am = 18 + 12 Combine like terms: 18 + 12 = 30 -30a + 10am = 30 Reorder the terms: -30 + -30a + 10am = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -30a + 10am = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + -3a + am) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-3 + -3a + am)' equal to zero and attempt to solve: Simplifying -3 + -3a + am = 0 Solving -3 + -3a + am = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3a + 3 + am = 0 + 3 Reorder the terms: -3 + 3 + -3a + am = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3a + am = 0 + 3 -3a + am = 0 + 3 Combine like terms: 0 + 3 = 3 -3a + am = 3 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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