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Simplifying 0 = 8 + -3[4(a + 2) + -3a] Reorder the terms: 0 = 8 + -3[4(2 + a) + -3a] 0 = 8 + -3[(2 * 4 + a * 4) + -3a] 0 = 8 + -3[(8 + 4a) + -3a] Combine like terms: 4a + -3a = 1a 0 = 8 + -3[8 + 1a] 0 = 8 + [8 * -3 + 1a * -3] 0 = 8 + [-24 + -3a] Combine like terms: 8 + -24 = -16 0 = -16 + -3a Solving 0 = -16 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 0 + 3a = -16 + -3a + 3a Remove the zero: 3a = -16 + -3a + 3a Combine like terms: -3a + 3a = 0 3a = -16 + 0 3a = -16 Divide each side by '3'. a = -5.333333333 Simplifying a = -5.333333333
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