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Simplifying 17a + 15b + 2c + 2c + -6b + -2a = 0 Reorder the terms: 17a + -2a + 15b + -6b + 2c + 2c = 0 Combine like terms: 17a + -2a = 15a 15a + 15b + -6b + 2c + 2c = 0 Combine like terms: 15b + -6b = 9b 15a + 9b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 15a + 9b + 4c = 0 Solving 15a + 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. 15a + 9b + -9b + 4c = 0 + -9b Combine like terms: 9b + -9b = 0 15a + 0 + 4c = 0 + -9b 15a + 4c = 0 + -9b Remove the zero: 15a + 4c = -9b Add '-4c' to each side of the equation. 15a + 4c + -4c = -9b + -4c Combine like terms: 4c + -4c = 0 15a + 0 = -9b + -4c 15a = -9b + -4c Divide each side by '15'. a = -0.6b + -0.2666666667c Simplifying a = -0.6b + -0.2666666667c
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