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Simplifying 8a = 8(4a + -1[6a + (a + -8)]) + 4 Reorder the terms: 8a = 8(4a + -1[6a + (-8 + a)]) + 4 Remove parenthesis around (-8 + a) 8a = 8(4a + -1[6a + -8 + a]) + 4 Reorder the terms: 8a = 8(4a + -1[-8 + 6a + a]) + 4 Combine like terms: 6a + a = 7a 8a = 8(4a + -1[-8 + 7a]) + 4 8a = 8(4a + [-8 * -1 + 7a * -1]) + 4 8a = 8(4a + [8 + -7a]) + 4 Reorder the terms: 8a = 8(8 + 4a + -7a) + 4 Combine like terms: 4a + -7a = -3a 8a = 8(8 + -3a) + 4 8a = (8 * 8 + -3a * 8) + 4 8a = (64 + -24a) + 4 Reorder the terms: 8a = 64 + 4 + -24a Combine like terms: 64 + 4 = 68 8a = 68 + -24a Solving 8a = 68 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 8a + 24a = 68 + -24a + 24a Combine like terms: 8a + 24a = 32a 32a = 68 + -24a + 24a Combine like terms: -24a + 24a = 0 32a = 68 + 0 32a = 68 Divide each side by '32'. a = 2.125 Simplifying a = 2.125
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