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Simplifying 4(6 + 8a) = -32 + 4a (6 * 4 + 8a * 4) = -32 + 4a (24 + 32a) = -32 + 4a Solving 24 + 32a = -32 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 24 + 32a + -4a = -32 + 4a + -4a Combine like terms: 32a + -4a = 28a 24 + 28a = -32 + 4a + -4a Combine like terms: 4a + -4a = 0 24 + 28a = -32 + 0 24 + 28a = -32 Add '-24' to each side of the equation. 24 + -24 + 28a = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 28a = -32 + -24 28a = -32 + -24 Combine like terms: -32 + -24 = -56 28a = -56 Divide each side by '28'. a = -2 Simplifying a = -2
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