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Simplifying 6a + 2b + 3c + -2c + 3b = 0 Reorder the terms: 6a + 2b + 3b + 3c + -2c = 0 Combine like terms: 2b + 3b = 5b 6a + 5b + 3c + -2c = 0 Combine like terms: 3c + -2c = 1c 6a + 5b + 1c = 0 Solving 6a + 5b + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 6a + 5b + -5b + 1c = 0 + -5b Combine like terms: 5b + -5b = 0 6a + 0 + 1c = 0 + -5b 6a + 1c = 0 + -5b Remove the zero: 6a + 1c = -5b Add '-1c' to each side of the equation. 6a + 1c + -1c = -5b + -1c Combine like terms: 1c + -1c = 0 6a + 0 = -5b + -1c 6a = -5b + -1c Divide each side by '6'. a = -0.8333333333b + -0.1666666667c Simplifying a = -0.8333333333b + -0.1666666667c
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