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Simplifying 8(6a + 6) = 384 Reorder the terms: 8(6 + 6a) = 384 (6 * 8 + 6a * 8) = 384 (48 + 48a) = 384 Solving 48 + 48a = 384 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 + 48a = 384 + -48 Combine like terms: 48 + -48 = 0 0 + 48a = 384 + -48 48a = 384 + -48 Combine like terms: 384 + -48 = 336 48a = 336 Divide each side by '48'. a = 7 Simplifying a = 7
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