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Simplifying 15a + 13b + 2c + 2c + -4b + -2a = 0 Reorder the terms: 15a + -2a + 13b + -4b + 2c + 2c = 0 Combine like terms: 15a + -2a = 13a 13a + 13b + -4b + 2c + 2c = 0 Combine like terms: 13b + -4b = 9b 13a + 9b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 13a + 9b + 4c = 0 Solving 13a + 9b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 13a + 9b + -9b + 4c = 0 + -9b Combine like terms: 9b + -9b = 0 13a + 0 + 4c = 0 + -9b 13a + 4c = 0 + -9b Remove the zero: 13a + 4c = -9b Add '-4c' to each side of the equation. 13a + 4c + -4c = -9b + -4c Combine like terms: 4c + -4c = 0 13a + 0 = -9b + -4c 13a = -9b + -4c Divide each side by '13'. a = -0.6923076923b + -0.3076923077c Simplifying a = -0.6923076923b + -0.3076923077c
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