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Simplifying -4(4 + -3a) = -32 + 8a (4 * -4 + -3a * -4) = -32 + 8a (-16 + 12a) = -32 + 8a Solving -16 + 12a = -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. -16 + 12a + -8a = -32 + 8a + -8a Combine like terms: 12a + -8a = 4a -16 + 4a = -32 + 8a + -8a Combine like terms: 8a + -8a = 0 -16 + 4a = -32 + 0 -16 + 4a = -32 Add '16' to each side of the equation. -16 + 16 + 4a = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 4a = -32 + 16 4a = -32 + 16 Combine like terms: -32 + 16 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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