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Simplifying 17a + 18b + 2c + 6c + -4b + -2a = 0 Reorder the terms: 17a + -2a + 18b + -4b + 2c + 6c = 0 Combine like terms: 17a + -2a = 15a 15a + 18b + -4b + 2c + 6c = 0 Combine like terms: 18b + -4b = 14b 15a + 14b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 15a + 14b + 8c = 0 Solving 15a + 14b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 15a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 15a + 0 + 8c = 0 + -14b 15a + 8c = 0 + -14b Remove the zero: 15a + 8c = -14b Add '-8c' to each side of the equation. 15a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 15a + 0 = -14b + -8c 15a = -14b + -8c Divide each side by '15'. a = -0.9333333333b + -0.5333333333c Simplifying a = -0.9333333333b + -0.5333333333c
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