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Simplifying 15a + 13b + 5c + 4c + -6b + -2a = 0 Reorder the terms: 15a + -2a + 13b + -6b + 5c + 4c = 0 Combine like terms: 15a + -2a = 13a 13a + 13b + -6b + 5c + 4c = 0 Combine like terms: 13b + -6b = 7b 13a + 7b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 13a + 7b + 9c = 0 Solving 13a + 7b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 13a + 7b + -7b + 9c = 0 + -7b Combine like terms: 7b + -7b = 0 13a + 0 + 9c = 0 + -7b 13a + 9c = 0 + -7b Remove the zero: 13a + 9c = -7b Add '-9c' to each side of the equation. 13a + 9c + -9c = -7b + -9c Combine like terms: 9c + -9c = 0 13a + 0 = -7b + -9c 13a = -7b + -9c Divide each side by '13'. a = -0.5384615385b + -0.6923076923c Simplifying a = -0.5384615385b + -0.6923076923c
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