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Simplifying (9a + 7b + 4c) + -1(2a + 2b + 2c) = 0 Remove parenthesis around (9a + 7b + 4c) 9a + 7b + 4c + -1(2a + 2b + 2c) = 0 9a + 7b + 4c + (2a * -1 + 2b * -1 + 2c * -1) = 0 9a + 7b + 4c + (-2a + -2b + -2c) = 0 Reorder the terms: 9a + -2a + 7b + -2b + 4c + -2c = 0 Combine like terms: 9a + -2a = 7a 7a + 7b + -2b + 4c + -2c = 0 Combine like terms: 7b + -2b = 5b 7a + 5b + 4c + -2c = 0 Combine like terms: 4c + -2c = 2c 7a + 5b + 2c = 0 Solving 7a + 5b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 7a + 5b + -5b + 2c = 0 + -5b Combine like terms: 5b + -5b = 0 7a + 0 + 2c = 0 + -5b 7a + 2c = 0 + -5b Remove the zero: 7a + 2c = -5b Add '-2c' to each side of the equation. 7a + 2c + -2c = -5b + -2c Combine like terms: 2c + -2c = 0 7a + 0 = -5b + -2c 7a = -5b + -2c Divide each side by '7'. a = -0.7142857143b + -0.2857142857c Simplifying a = -0.7142857143b + -0.2857142857c
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