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Simplifying 6a + -3c + a + 2b = 0 Reorder the terms: 6a + a + 2b + -3c = 0 Combine like terms: 6a + a = 7a 7a + 2b + -3c = 0 Solving 7a + 2b + -3c = 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. 7a + 2b + -2b + -3c = 0 + -2b Combine like terms: 2b + -2b = 0 7a + 0 + -3c = 0 + -2b 7a + -3c = 0 + -2b Remove the zero: 7a + -3c = -2b Add '3c' to each side of the equation. 7a + -3c + 3c = -2b + 3c Combine like terms: -3c + 3c = 0 7a + 0 = -2b + 3c 7a = -2b + 3c Divide each side by '7'. a = -0.2857142857b + 0.4285714286c Simplifying a = -0.2857142857b + 0.4285714286c
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