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Simplifying 8a + -1[2(a + -2) + 4a + -4] = 0 Reorder the terms: 8a + -1[2(-2 + a) + 4a + -4] = 0 8a + -1[(-2 * 2 + a * 2) + 4a + -4] = 0 8a + -1[(-4 + 2a) + 4a + -4] = 0 Reorder the terms: 8a + -1[-4 + -4 + 2a + 4a] = 0 Combine like terms: -4 + -4 = -8 8a + -1[-8 + 2a + 4a] = 0 Combine like terms: 2a + 4a = 6a 8a + -1[-8 + 6a] = 0 8a + [-8 * -1 + 6a * -1] = 0 8a + [8 + -6a] = 0 Reorder the terms: 8 + 8a + -6a = 0 Combine like terms: 8a + -6a = 2a 8 + 2a = 0 Solving 8 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 0 + -8 2a = 0 + -8 Combine like terms: 0 + -8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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