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Simplifying (2a + -3b + c) + (5a + -6b + c) = 0 Remove parenthesis around (2a + -3b + c) 2a + -3b + c + (5a + -6b + c) = 0 Remove parenthesis around (5a + -6b + c) 2a + -3b + c + 5a + -6b + c = 0 Reorder the terms: 2a + 5a + -3b + -6b + c + c = 0 Combine like terms: 2a + 5a = 7a 7a + -3b + -6b + c + c = 0 Combine like terms: -3b + -6b = -9b 7a + -9b + c + c = 0 Combine like terms: c + c = 2c 7a + -9b + 2c = 0 Solving 7a + -9b + 2c = 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 + 2c = 0 + 9b Combine like terms: -9b + 9b = 0 7a + 0 + 2c = 0 + 9b 7a + 2c = 0 + 9b Remove the zero: 7a + 2c = 9b Add '-2c' to each side of the equation. 7a + 2c + -2c = 9b + -2c Combine like terms: 2c + -2c = 0 7a + 0 = 9b + -2c 7a = 9b + -2c Divide each side by '7'. a = 1.285714286b + -0.2857142857c Simplifying a = 1.285714286b + -0.2857142857c
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