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Simplifying -2(4(3a + -4)) = 8(-6(10 + -1a)) Reorder the terms: -2(4(-4 + 3a)) = 8(-6(10 + -1a)) -2((-4 * 4 + 3a * 4)) = 8(-6(10 + -1a)) -2((-16 + 12a)) = 8(-6(10 + -1a)) (-16 * -2 + 12a * -2) = 8(-6(10 + -1a)) (32 + -24a) = 8(-6(10 + -1a)) 32 + -24a = 8((10 * -6 + -1a * -6)) 32 + -24a = 8((-60 + 6a)) 32 + -24a = (-60 * 8 + 6a * 8) 32 + -24a = (-480 + 48a) Solving 32 + -24a = -480 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 32 + -24a + -48a = -480 + 48a + -48a Combine like terms: -24a + -48a = -72a 32 + -72a = -480 + 48a + -48a Combine like terms: 48a + -48a = 0 32 + -72a = -480 + 0 32 + -72a = -480 Add '-32' to each side of the equation. 32 + -32 + -72a = -480 + -32 Combine like terms: 32 + -32 = 0 0 + -72a = -480 + -32 -72a = -480 + -32 Combine like terms: -480 + -32 = -512 -72a = -512 Divide each side by '-72'. a = 7.111111111 Simplifying a = 7.111111111
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