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Simplifying 3(4a + -3b) + 2 + -1(5a + -3b) = 0 (4a * 3 + -3b * 3) + 2 + -1(5a + -3b) = 0 (12a + -9b) + 2 + -1(5a + -3b) = 0 12a + -9b + 2 + (5a * -1 + -3b * -1) = 0 12a + -9b + 2 + (-5a + 3b) = 0 Reorder the terms: 2 + 12a + -5a + -9b + 3b = 0 Combine like terms: 12a + -5a = 7a 2 + 7a + -9b + 3b = 0 Combine like terms: -9b + 3b = -6b 2 + 7a + -6b = 0 Solving 2 + 7a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7a + -2 + -6b = 0 + -2 Reorder the terms: 2 + -2 + 7a + -6b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a + -6b = 0 + -2 7a + -6b = 0 + -2 Combine like terms: 0 + -2 = -2 7a + -6b = -2 Add '6b' to each side of the equation. 7a + -6b + 6b = -2 + 6b Combine like terms: -6b + 6b = 0 7a + 0 = -2 + 6b 7a = -2 + 6b Divide each side by '7'. a = -0.2857142857 + 0.8571428571b Simplifying a = -0.2857142857 + 0.8571428571b
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