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Simplifying 5 = 6a(q + -5) + -19 Reorder the terms: 5 = 6a(-5 + q) + -19 5 = (-5 * 6a + q * 6a) + -19 5 = (-30a + 6aq) + -19 Reorder the terms: 5 = -19 + -30a + 6aq Solving 5 = -19 + -30a + 6aq Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 5 + 30a = -19 + -30a + 30a + 6aq Combine like terms: -30a + 30a = 0 5 + 30a = -19 + 0 + 6aq 5 + 30a = -19 + 6aq Add '-6aq' to each side of the equation. 5 + 30a + -6aq = -19 + 6aq + -6aq Combine like terms: 6aq + -6aq = 0 5 + 30a + -6aq = -19 + 0 5 + 30a + -6aq = -19 Add '-5' to each side of the equation. 5 + 30a + -5 + -6aq = -19 + -5 Reorder the terms: 5 + -5 + 30a + -6aq = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 30a + -6aq = -19 + -5 30a + -6aq = -19 + -5 Combine like terms: -19 + -5 = -24 30a + -6aq = -24 Reorder the terms: 24 + 30a + -6aq = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 30a + -6aq = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(4 + 5a + -1aq) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + 5a + -1aq)' equal to zero and attempt to solve: Simplifying 4 + 5a + -1aq = 0 Solving 4 + 5a + -1aq = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5a + -4 + -1aq = 0 + -4 Reorder the terms: 4 + -4 + 5a + -1aq = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a + -1aq = 0 + -4 5a + -1aq = 0 + -4 Combine like terms: 0 + -4 = -4 5a + -1aq = -4 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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