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Simplifying 3a + 2a + c + b + 2a + 3a + 5b = 0 Reorder the terms: 3a + 2a + 2a + 3a + b + 5b + c = 0 Combine like terms: 3a + 2a = 5a 5a + 2a + 3a + b + 5b + c = 0 Combine like terms: 5a + 2a = 7a 7a + 3a + b + 5b + c = 0 Combine like terms: 7a + 3a = 10a 10a + b + 5b + c = 0 Combine like terms: b + 5b = 6b 10a + 6b + c = 0 Solving 10a + 6b + c = 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. 10a + 6b + -6b + c = 0 + -6b Combine like terms: 6b + -6b = 0 10a + 0 + c = 0 + -6b 10a + c = 0 + -6b Remove the zero: 10a + c = -6b Add '-1c' to each side of the equation. 10a + c + -1c = -6b + -1c Combine like terms: c + -1c = 0 10a + 0 = -6b + -1c 10a = -6b + -1c Divide each side by '10'. a = -0.6b + -0.1c Simplifying a = -0.6b + -0.1c
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