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Simplifying -4(4a + -6) = -32 + -8a Reorder the terms: -4(-6 + 4a) = -32 + -8a (-6 * -4 + 4a * -4) = -32 + -8a (24 + -16a) = -32 + -8a Solving 24 + -16a = -32 + -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 + -16a + 8a = -32 + -8a + 8a Combine like terms: -16a + 8a = -8a 24 + -8a = -32 + -8a + 8a Combine like terms: -8a + 8a = 0 24 + -8a = -32 + 0 24 + -8a = -32 Add '-24' to each side of the equation. 24 + -24 + -8a = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = -32 + -24 -8a = -32 + -24 Combine like terms: -32 + -24 = -56 -8a = -56 Divide each side by '-8'. a = 7 Simplifying a = 7
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