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Simplifying 15a + 15b + 6c + 3c + -5b + -2a = 0 Reorder the terms: 15a + -2a + 15b + -5b + 6c + 3c = 0 Combine like terms: 15a + -2a = 13a 13a + 15b + -5b + 6c + 3c = 0 Combine like terms: 15b + -5b = 10b 13a + 10b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 13a + 10b + 9c = 0 Solving 13a + 10b + 9c = 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. 13a + 10b + -10b + 9c = 0 + -10b Combine like terms: 10b + -10b = 0 13a + 0 + 9c = 0 + -10b 13a + 9c = 0 + -10b Remove the zero: 13a + 9c = -10b Add '-9c' to each side of the equation. 13a + 9c + -9c = -10b + -9c Combine like terms: 9c + -9c = 0 13a + 0 = -10b + -9c 13a = -10b + -9c Divide each side by '13'. a = -0.7692307692b + -0.6923076923c Simplifying a = -0.7692307692b + -0.6923076923c
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