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Simplifying 12a + 17b + 2c + 4c + -4b + -4a = 0 Reorder the terms: 12a + -4a + 17b + -4b + 2c + 4c = 0 Combine like terms: 12a + -4a = 8a 8a + 17b + -4b + 2c + 4c = 0 Combine like terms: 17b + -4b = 13b 8a + 13b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 8a + 13b + 6c = 0 Solving 8a + 13b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 8a + 13b + -13b + 6c = 0 + -13b Combine like terms: 13b + -13b = 0 8a + 0 + 6c = 0 + -13b 8a + 6c = 0 + -13b Remove the zero: 8a + 6c = -13b Add '-6c' to each side of the equation. 8a + 6c + -6c = -13b + -6c Combine like terms: 6c + -6c = 0 8a + 0 = -13b + -6c 8a = -13b + -6c Divide each side by '8'. a = -1.625b + -0.75c Simplifying a = -1.625b + -0.75c
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