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Simplifying -12 + -8a = -5(a + -6) Reorder the terms: -12 + -8a = -5(-6 + a) -12 + -8a = (-6 * -5 + a * -5) -12 + -8a = (30 + -5a) Solving -12 + -8a = 30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -12 + -8a + 5a = 30 + -5a + 5a Combine like terms: -8a + 5a = -3a -12 + -3a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 -12 + -3a = 30 + 0 -12 + -3a = 30 Add '12' to each side of the equation. -12 + 12 + -3a = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = 30 + 12 -3a = 30 + 12 Combine like terms: 30 + 12 = 42 -3a = 42 Divide each side by '-3'. a = -14 Simplifying a = -14
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