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Simplifying -512 = -8(7a + 8) Reorder the terms: -512 = -8(8 + 7a) -512 = (8 * -8 + 7a * -8) -512 = (-64 + -56a) Solving -512 = -64 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. -512 + 56a = -64 + -56a + 56a Combine like terms: -56a + 56a = 0 -512 + 56a = -64 + 0 -512 + 56a = -64 Add '512' to each side of the equation. -512 + 512 + 56a = -64 + 512 Combine like terms: -512 + 512 = 0 0 + 56a = -64 + 512 56a = -64 + 512 Combine like terms: -64 + 512 = 448 56a = 448 Divide each side by '56'. a = 8 Simplifying a = 8
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