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Simplifying 6b + 4b + -1a + 6c + 5a + -4c = 0 Reorder the terms: -1a + 5a + 6b + 4b + 6c + -4c = 0 Combine like terms: -1a + 5a = 4a 4a + 6b + 4b + 6c + -4c = 0 Combine like terms: 6b + 4b = 10b 4a + 10b + 6c + -4c = 0 Combine like terms: 6c + -4c = 2c 4a + 10b + 2c = 0 Solving 4a + 10b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 4a + 10b + -10b + 2c = 0 + -10b Combine like terms: 10b + -10b = 0 4a + 0 + 2c = 0 + -10b 4a + 2c = 0 + -10b Remove the zero: 4a + 2c = -10b Add '-2c' to each side of the equation. 4a + 2c + -2c = -10b + -2c Combine like terms: 2c + -2c = 0 4a + 0 = -10b + -2c 4a = -10b + -2c Divide each side by '4'. a = -2.5b + -0.5c Simplifying a = -2.5b + -0.5c
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