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Simplifying (4a + -4b + 2c) + (3a + -4b) = 0 Remove parenthesis around (4a + -4b + 2c) 4a + -4b + 2c + (3a + -4b) = 0 Remove parenthesis around (3a + -4b) 4a + -4b + 2c + 3a + -4b = 0 Reorder the terms: 4a + 3a + -4b + -4b + 2c = 0 Combine like terms: 4a + 3a = 7a 7a + -4b + -4b + 2c = 0 Combine like terms: -4b + -4b = -8b 7a + -8b + 2c = 0 Solving 7a + -8b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 7a + -8b + 8b + 2c = 0 + 8b Combine like terms: -8b + 8b = 0 7a + 0 + 2c = 0 + 8b 7a + 2c = 0 + 8b Remove the zero: 7a + 2c = 8b Add '-2c' to each side of the equation. 7a + 2c + -2c = 8b + -2c Combine like terms: 2c + -2c = 0 7a + 0 = 8b + -2c 7a = 8b + -2c Divide each side by '7'. a = 1.142857143b + -0.2857142857c Simplifying a = 1.142857143b + -0.2857142857c
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