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Simplifying 3a + 4a + 3a + 2b + c + 7a = 0 Reorder the terms: 3a + 4a + 3a + 7a + 2b + c = 0 Combine like terms: 3a + 4a = 7a 7a + 3a + 7a + 2b + c = 0 Combine like terms: 7a + 3a = 10a 10a + 7a + 2b + c = 0 Combine like terms: 10a + 7a = 17a 17a + 2b + c = 0 Solving 17a + 2b + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 17a + 2b + -2b + c = 0 + -2b Combine like terms: 2b + -2b = 0 17a + 0 + c = 0 + -2b 17a + c = 0 + -2b Remove the zero: 17a + c = -2b Add '-1c' to each side of the equation. 17a + c + -1c = -2b + -1c Combine like terms: c + -1c = 0 17a + 0 = -2b + -1c 17a = -2b + -1c Divide each side by '17'. a = -0.1176470588b + -0.05882352941c Simplifying a = -0.1176470588b + -0.05882352941c
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