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Simplifying -4(6 + -3a) = 8a + 12 (6 * -4 + -3a * -4) = 8a + 12 (-24 + 12a) = 8a + 12 Reorder the terms: -24 + 12a = 12 + 8a Solving -24 + 12a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -24 + 12a + -8a = 12 + 8a + -8a Combine like terms: 12a + -8a = 4a -24 + 4a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + 4a = 12 + 0 -24 + 4a = 12 Add '24' to each side of the equation. -24 + 24 + 4a = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 4a = 12 + 24 4a = 12 + 24 Combine like terms: 12 + 24 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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