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Simplifying 6a = 3(6a + -1[6a + (7a + -1)]) + 6 Reorder the terms: 6a = 3(6a + -1[6a + (-1 + 7a)]) + 6 Remove parenthesis around (-1 + 7a) 6a = 3(6a + -1[6a + -1 + 7a]) + 6 Reorder the terms: 6a = 3(6a + -1[-1 + 6a + 7a]) + 6 Combine like terms: 6a + 7a = 13a 6a = 3(6a + -1[-1 + 13a]) + 6 6a = 3(6a + [-1 * -1 + 13a * -1]) + 6 6a = 3(6a + [1 + -13a]) + 6 Reorder the terms: 6a = 3(1 + 6a + -13a) + 6 Combine like terms: 6a + -13a = -7a 6a = 3(1 + -7a) + 6 6a = (1 * 3 + -7a * 3) + 6 6a = (3 + -21a) + 6 Reorder the terms: 6a = 3 + 6 + -21a Combine like terms: 3 + 6 = 9 6a = 9 + -21a Solving 6a = 9 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 6a + 21a = 9 + -21a + 21a Combine like terms: 6a + 21a = 27a 27a = 9 + -21a + 21a Combine like terms: -21a + 21a = 0 27a = 9 + 0 27a = 9 Divide each side by '27'. a = 0.3333333333 Simplifying a = 0.3333333333
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