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Simplifying 3a = 3(2a + -1[2a + (5a + -3)]) + 8 Reorder the terms: 3a = 3(2a + -1[2a + (-3 + 5a)]) + 8 Remove parenthesis around (-3 + 5a) 3a = 3(2a + -1[2a + -3 + 5a]) + 8 Reorder the terms: 3a = 3(2a + -1[-3 + 2a + 5a]) + 8 Combine like terms: 2a + 5a = 7a 3a = 3(2a + -1[-3 + 7a]) + 8 3a = 3(2a + [-3 * -1 + 7a * -1]) + 8 3a = 3(2a + [3 + -7a]) + 8 Reorder the terms: 3a = 3(3 + 2a + -7a) + 8 Combine like terms: 2a + -7a = -5a 3a = 3(3 + -5a) + 8 3a = (3 * 3 + -5a * 3) + 8 3a = (9 + -15a) + 8 Reorder the terms: 3a = 9 + 8 + -15a Combine like terms: 9 + 8 = 17 3a = 17 + -15a Solving 3a = 17 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 3a + 15a = 17 + -15a + 15a Combine like terms: 3a + 15a = 18a 18a = 17 + -15a + 15a Combine like terms: -15a + 15a = 0 18a = 17 + 0 18a = 17 Divide each side by '18'. a = 0.9444444444 Simplifying a = 0.9444444444
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