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Simplifying 12a + -1[17b + -1(8a + -3b) + 3a] = 0 12a + -1[17b + (8a * -1 + -3b * -1) + 3a] = 0 12a + -1[17b + (-8a + 3b) + 3a] = 0 Reorder the terms: 12a + -1[-8a + 3a + 17b + 3b] = 0 Combine like terms: -8a + 3a = -5a 12a + -1[-5a + 17b + 3b] = 0 Combine like terms: 17b + 3b = 20b 12a + -1[-5a + 20b] = 0 12a + [-5a * -1 + 20b * -1] = 0 12a + [5a + -20b] = 0 Combine like terms: 12a + 5a = 17a 17a + -20b = 0 Solving 17a + -20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20b' to each side of the equation. 17a + -20b + 20b = 0 + 20b Combine like terms: -20b + 20b = 0 17a + 0 = 0 + 20b 17a = 0 + 20b Remove the zero: 17a = 20b Divide each side by '17'. a = 1.176470588b Simplifying a = 1.176470588b
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