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Simplifying 17a + 20b + 2c + 4c + -6b + -2a = 0 Reorder the terms: 17a + -2a + 20b + -6b + 2c + 4c = 0 Combine like terms: 17a + -2a = 15a 15a + 20b + -6b + 2c + 4c = 0 Combine like terms: 20b + -6b = 14b 15a + 14b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 15a + 14b + 6c = 0 Solving 15a + 14b + 6c = 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 + 6c = 0 + -14b Combine like terms: 14b + -14b = 0 15a + 0 + 6c = 0 + -14b 15a + 6c = 0 + -14b Remove the zero: 15a + 6c = -14b Add '-6c' to each side of the equation. 15a + 6c + -6c = -14b + -6c Combine like terms: 6c + -6c = 0 15a + 0 = -14b + -6c 15a = -14b + -6c Divide each side by '15'. a = -0.9333333333b + -0.4c Simplifying a = -0.9333333333b + -0.4c
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