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Simplifying (2a + -1b + 4c) + (-9a + -6c) = 0 Remove parenthesis around (2a + -1b + 4c) 2a + -1b + 4c + (-9a + -6c) = 0 Remove parenthesis around (-9a + -6c) 2a + -1b + 4c + -9a + -6c = 0 Reorder the terms: 2a + -9a + -1b + 4c + -6c = 0 Combine like terms: 2a + -9a = -7a -7a + -1b + 4c + -6c = 0 Combine like terms: 4c + -6c = -2c -7a + -1b + -2c = 0 Solving -7a + -1b + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -7a + -1b + b + -2c = 0 + b Combine like terms: -1b + b = 0 -7a + 0 + -2c = 0 + b -7a + -2c = 0 + b Remove the zero: -7a + -2c = b Add '2c' to each side of the equation. -7a + -2c + 2c = b + 2c Combine like terms: -2c + 2c = 0 -7a + 0 = b + 2c -7a = b + 2c Divide each side by '-7'. a = -0.1428571429b + -0.2857142857c Simplifying a = -0.1428571429b + -0.2857142857c
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