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Simplifying 8(4a + 6) = -32 Reorder the terms: 8(6 + 4a) = -32 (6 * 8 + 4a * 8) = -32 (48 + 32a) = -32 Solving 48 + 32a = -32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 32a = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 32a = -32 + -48 32a = -32 + -48 Combine like terms: -32 + -48 = -80 32a = -80 Divide each side by '32'. a = -2.5 Simplifying a = -2.5
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