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Simplifying -6(a + 4) = 3(12 + -1a) Reorder the terms: -6(4 + a) = 3(12 + -1a) (4 * -6 + a * -6) = 3(12 + -1a) (-24 + -6a) = 3(12 + -1a) -24 + -6a = (12 * 3 + -1a * 3) -24 + -6a = (36 + -3a) Solving -24 + -6a = 36 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -24 + -6a + 3a = 36 + -3a + 3a Combine like terms: -6a + 3a = -3a -24 + -3a = 36 + -3a + 3a Combine like terms: -3a + 3a = 0 -24 + -3a = 36 + 0 -24 + -3a = 36 Add '24' to each side of the equation. -24 + 24 + -3a = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -3a = 36 + 24 -3a = 36 + 24 Combine like terms: 36 + 24 = 60 -3a = 60 Divide each side by '-3'. a = -20 Simplifying a = -20
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