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Simplifying 8a = 2(5a + -1[4a + (8a + -6)]) + 4 Reorder the terms: 8a = 2(5a + -1[4a + (-6 + 8a)]) + 4 Remove parenthesis around (-6 + 8a) 8a = 2(5a + -1[4a + -6 + 8a]) + 4 Reorder the terms: 8a = 2(5a + -1[-6 + 4a + 8a]) + 4 Combine like terms: 4a + 8a = 12a 8a = 2(5a + -1[-6 + 12a]) + 4 8a = 2(5a + [-6 * -1 + 12a * -1]) + 4 8a = 2(5a + [6 + -12a]) + 4 Reorder the terms: 8a = 2(6 + 5a + -12a) + 4 Combine like terms: 5a + -12a = -7a 8a = 2(6 + -7a) + 4 8a = (6 * 2 + -7a * 2) + 4 8a = (12 + -14a) + 4 Reorder the terms: 8a = 12 + 4 + -14a Combine like terms: 12 + 4 = 16 8a = 16 + -14a Solving 8a = 16 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 8a + 14a = 16 + -14a + 14a Combine like terms: 8a + 14a = 22a 22a = 16 + -14a + 14a Combine like terms: -14a + 14a = 0 22a = 16 + 0 22a = 16 Divide each side by '22'. a = 0.7272727273 Simplifying a = 0.7272727273
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