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Simplifying -4(8a + -3) + 2(4a + 6) = -24 Reorder the terms: -4(-3 + 8a) + 2(4a + 6) = -24 (-3 * -4 + 8a * -4) + 2(4a + 6) = -24 (12 + -32a) + 2(4a + 6) = -24 Reorder the terms: 12 + -32a + 2(6 + 4a) = -24 12 + -32a + (6 * 2 + 4a * 2) = -24 12 + -32a + (12 + 8a) = -24 Reorder the terms: 12 + 12 + -32a + 8a = -24 Combine like terms: 12 + 12 = 24 24 + -32a + 8a = -24 Combine like terms: -32a + 8a = -24a 24 + -24a = -24 Solving 24 + -24a = -24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -24a = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -24a = -24 + -24 -24a = -24 + -24 Combine like terms: -24 + -24 = -48 -24a = -48 Divide each side by '-24'. a = 2 Simplifying a = 2
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