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Simplifying -4(8 + -8a) = 4(7 + -5a) + -8 (8 * -4 + -8a * -4) = 4(7 + -5a) + -8 (-32 + 32a) = 4(7 + -5a) + -8 -32 + 32a = (7 * 4 + -5a * 4) + -8 -32 + 32a = (28 + -20a) + -8 Reorder the terms: -32 + 32a = 28 + -8 + -20a Combine like terms: 28 + -8 = 20 -32 + 32a = 20 + -20a Solving -32 + 32a = 20 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -32 + 32a + 20a = 20 + -20a + 20a Combine like terms: 32a + 20a = 52a -32 + 52a = 20 + -20a + 20a Combine like terms: -20a + 20a = 0 -32 + 52a = 20 + 0 -32 + 52a = 20 Add '32' to each side of the equation. -32 + 32 + 52a = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 52a = 20 + 32 52a = 20 + 32 Combine like terms: 20 + 32 = 52 52a = 52 Divide each side by '52'. a = 1 Simplifying a = 1
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