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Simplifying 14a + 14b + 4c + 3c + -6b + -4a = 0 Reorder the terms: 14a + -4a + 14b + -6b + 4c + 3c = 0 Combine like terms: 14a + -4a = 10a 10a + 14b + -6b + 4c + 3c = 0 Combine like terms: 14b + -6b = 8b 10a + 8b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 10a + 8b + 7c = 0 Solving 10a + 8b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 10a + 8b + -8b + 7c = 0 + -8b Combine like terms: 8b + -8b = 0 10a + 0 + 7c = 0 + -8b 10a + 7c = 0 + -8b Remove the zero: 10a + 7c = -8b Add '-7c' to each side of the equation. 10a + 7c + -7c = -8b + -7c Combine like terms: 7c + -7c = 0 10a + 0 = -8b + -7c 10a = -8b + -7c Divide each side by '10'. a = -0.8b + -0.7c Simplifying a = -0.8b + -0.7c
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