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Simplifying -160 = -8(4a + -4) Reorder the terms: -160 = -8(-4 + 4a) -160 = (-4 * -8 + 4a * -8) -160 = (32 + -32a) Solving -160 = 32 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -160 + 32a = 32 + -32a + 32a Combine like terms: -32a + 32a = 0 -160 + 32a = 32 + 0 -160 + 32a = 32 Add '160' to each side of the equation. -160 + 160 + 32a = 32 + 160 Combine like terms: -160 + 160 = 0 0 + 32a = 32 + 160 32a = 32 + 160 Combine like terms: 32 + 160 = 192 32a = 192 Divide each side by '32'. a = 6 Simplifying a = 6
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