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Simplifying 4a + -8[a + -4(a + -8)] = 0 Reorder the terms: 4a + -8[a + -4(-8 + a)] = 0 4a + -8[a + (-8 * -4 + a * -4)] = 0 4a + -8[a + (32 + -4a)] = 0 Reorder the terms: 4a + -8[32 + a + -4a] = 0 Combine like terms: a + -4a = -3a 4a + -8[32 + -3a] = 0 4a + [32 * -8 + -3a * -8] = 0 4a + [-256 + 24a] = 0 Reorder the terms: -256 + 4a + 24a = 0 Combine like terms: 4a + 24a = 28a -256 + 28a = 0 Solving -256 + 28a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + 28a = 0 + 256 Combine like terms: -256 + 256 = 0 0 + 28a = 0 + 256 28a = 0 + 256 Combine like terms: 0 + 256 = 256 28a = 256 Divide each side by '28'. a = 9.142857143 Simplifying a = 9.142857143
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