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Simplifying (5a + 3b + -8c) + (2a + b + -6c) = 0 Remove parenthesis around (5a + 3b + -8c) 5a + 3b + -8c + (2a + b + -6c) = 0 Remove parenthesis around (2a + b + -6c) 5a + 3b + -8c + 2a + b + -6c = 0 Reorder the terms: 5a + 2a + 3b + b + -8c + -6c = 0 Combine like terms: 5a + 2a = 7a 7a + 3b + b + -8c + -6c = 0 Combine like terms: 3b + b = 4b 7a + 4b + -8c + -6c = 0 Combine like terms: -8c + -6c = -14c 7a + 4b + -14c = 0 Solving 7a + 4b + -14c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 7a + 4b + -4b + -14c = 0 + -4b Combine like terms: 4b + -4b = 0 7a + 0 + -14c = 0 + -4b 7a + -14c = 0 + -4b Remove the zero: 7a + -14c = -4b Add '14c' to each side of the equation. 7a + -14c + 14c = -4b + 14c Combine like terms: -14c + 14c = 0 7a + 0 = -4b + 14c 7a = -4b + 14c Divide each side by '7'. a = -0.5714285714b + 2c Simplifying a = -0.5714285714b + 2c
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