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Simplifying 12a + 18b + 5c + 3c + -4b + -4a = 0 Reorder the terms: 12a + -4a + 18b + -4b + 5c + 3c = 0 Combine like terms: 12a + -4a = 8a 8a + 18b + -4b + 5c + 3c = 0 Combine like terms: 18b + -4b = 14b 8a + 14b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 8a + 14b + 8c = 0 Solving 8a + 14b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 8a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 8a + 0 + 8c = 0 + -14b 8a + 8c = 0 + -14b Remove the zero: 8a + 8c = -14b Add '-8c' to each side of the equation. 8a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 8a + 0 = -14b + -8c 8a = -14b + -8c Divide each side by '8'. a = -1.75b + -1c Simplifying a = -1.75b + -1c
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