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Simplifying 3a + 7b + -1(-4a + -2b) = 0 3a + 7b + (-4a * -1 + -2b * -1) = 0 3a + 7b + (4a + 2b) = 0 Reorder the terms: 3a + 4a + 7b + 2b = 0 Combine like terms: 3a + 4a = 7a 7a + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b 7a + 9b = 0 Solving 7a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 7a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 7a + 0 = 0 + -9b 7a = 0 + -9b Remove the zero: 7a = -9b Divide each side by '7'. a = -1.285714286b Simplifying a = -1.285714286b
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