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Simplifying 7b + 3a + -4c + 3b + 4a = 0 Reorder the terms: 3a + 4a + 7b + 3b + -4c = 0 Combine like terms: 3a + 4a = 7a 7a + 7b + 3b + -4c = 0 Combine like terms: 7b + 3b = 10b 7a + 10b + -4c = 0 Solving 7a + 10b + -4c = 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. 7a + 10b + -10b + -4c = 0 + -10b Combine like terms: 10b + -10b = 0 7a + 0 + -4c = 0 + -10b 7a + -4c = 0 + -10b Remove the zero: 7a + -4c = -10b Add '4c' to each side of the equation. 7a + -4c + 4c = -10b + 4c Combine like terms: -4c + 4c = 0 7a + 0 = -10b + 4c 7a = -10b + 4c Divide each side by '7'. a = -1.428571429b + 0.5714285714c Simplifying a = -1.428571429b + 0.5714285714c
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