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Simplifying 7a = 5(6a + -1[3a + (6a + -6)]) + 2 Reorder the terms: 7a = 5(6a + -1[3a + (-6 + 6a)]) + 2 Remove parenthesis around (-6 + 6a) 7a = 5(6a + -1[3a + -6 + 6a]) + 2 Reorder the terms: 7a = 5(6a + -1[-6 + 3a + 6a]) + 2 Combine like terms: 3a + 6a = 9a 7a = 5(6a + -1[-6 + 9a]) + 2 7a = 5(6a + [-6 * -1 + 9a * -1]) + 2 7a = 5(6a + [6 + -9a]) + 2 Reorder the terms: 7a = 5(6 + 6a + -9a) + 2 Combine like terms: 6a + -9a = -3a 7a = 5(6 + -3a) + 2 7a = (6 * 5 + -3a * 5) + 2 7a = (30 + -15a) + 2 Reorder the terms: 7a = 30 + 2 + -15a Combine like terms: 30 + 2 = 32 7a = 32 + -15a Solving 7a = 32 + -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. 7a + 15a = 32 + -15a + 15a Combine like terms: 7a + 15a = 22a 22a = 32 + -15a + 15a Combine like terms: -15a + 15a = 0 22a = 32 + 0 22a = 32 Divide each side by '22'. a = 1.454545455 Simplifying a = 1.454545455
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