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