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Simplifying 6a = 12(7a + -1[5a + (2a + -3)]) + 3 Reorder the terms: 6a = 12(7a + -1[5a + (-3 + 2a)]) + 3 Remove parenthesis around (-3 + 2a) 6a = 12(7a + -1[5a + -3 + 2a]) + 3 Reorder the terms: 6a = 12(7a + -1[-3 + 5a + 2a]) + 3 Combine like terms: 5a + 2a = 7a 6a = 12(7a + -1[-3 + 7a]) + 3 6a = 12(7a + [-3 * -1 + 7a * -1]) + 3 6a = 12(7a + [3 + -7a]) + 3 Reorder the terms: 6a = 12(3 + 7a + -7a) + 3 Combine like terms: 7a + -7a = 0 6a = 12(3 + 0) + 3 6a = 12(3) + 3 Multiply 12 * 3 6a = 36 + 3 Combine like terms: 36 + 3 = 39 6a = 39 Solving 6a = 39 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '6'. a = 6.5 Simplifying a = 6.5
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