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Simplifying 3a + 2a + c + b + 2a + 3c + 5b = 0 Reorder the terms: 3a + 2a + 2a + b + 5b + c + 3c = 0 Combine like terms: 3a + 2a = 5a 5a + 2a + b + 5b + c + 3c = 0 Combine like terms: 5a + 2a = 7a 7a + b + 5b + c + 3c = 0 Combine like terms: b + 5b = 6b 7a + 6b + c + 3c = 0 Combine like terms: c + 3c = 4c 7a + 6b + 4c = 0 Solving 7a + 6b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 7a + 6b + -6b + 4c = 0 + -6b Combine like terms: 6b + -6b = 0 7a + 0 + 4c = 0 + -6b 7a + 4c = 0 + -6b Remove the zero: 7a + 4c = -6b Add '-4c' to each side of the equation. 7a + 4c + -4c = -6b + -4c Combine like terms: 4c + -4c = 0 7a + 0 = -6b + -4c 7a = -6b + -4c Divide each side by '7'. a = -0.8571428571b + -0.5714285714c Simplifying a = -0.8571428571b + -0.5714285714c
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