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Simplifying 4(6a + 4) + -8 = -32 + 4a Reorder the terms: 4(4 + 6a) + -8 = -32 + 4a (4 * 4 + 6a * 4) + -8 = -32 + 4a (16 + 24a) + -8 = -32 + 4a Reorder the terms: 16 + -8 + 24a = -32 + 4a Combine like terms: 16 + -8 = 8 8 + 24a = -32 + 4a Solving 8 + 24a = -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. 8 + 24a + -4a = -32 + 4a + -4a Combine like terms: 24a + -4a = 20a 8 + 20a = -32 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + 20a = -32 + 0 8 + 20a = -32 Add '-8' to each side of the equation. 8 + -8 + 20a = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 20a = -32 + -8 20a = -32 + -8 Combine like terms: -32 + -8 = -40 20a = -40 Divide each side by '20'. a = -2 Simplifying a = -2
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