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Simplifying 14a + 15b + 4c + 3c + -5b + -3a = 0 Reorder the terms: 14a + -3a + 15b + -5b + 4c + 3c = 0 Combine like terms: 14a + -3a = 11a 11a + 15b + -5b + 4c + 3c = 0 Combine like terms: 15b + -5b = 10b 11a + 10b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 11a + 10b + 7c = 0 Solving 11a + 10b + 7c = 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. 11a + 10b + -10b + 7c = 0 + -10b Combine like terms: 10b + -10b = 0 11a + 0 + 7c = 0 + -10b 11a + 7c = 0 + -10b Remove the zero: 11a + 7c = -10b Add '-7c' to each side of the equation. 11a + 7c + -7c = -10b + -7c Combine like terms: 7c + -7c = 0 11a + 0 = -10b + -7c 11a = -10b + -7c Divide each side by '11'. a = -0.9090909091b + -0.6363636364c Simplifying a = -0.9090909091b + -0.6363636364c
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