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Simplifying 17a + 12b + 5c + 2c + -3b + -2a = 0 Reorder the terms: 17a + -2a + 12b + -3b + 5c + 2c = 0 Combine like terms: 17a + -2a = 15a 15a + 12b + -3b + 5c + 2c = 0 Combine like terms: 12b + -3b = 9b 15a + 9b + 5c + 2c = 0 Combine like terms: 5c + 2c = 7c 15a + 9b + 7c = 0 Solving 15a + 9b + 7c = 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 + 7c = 0 + -9b Combine like terms: 9b + -9b = 0 15a + 0 + 7c = 0 + -9b 15a + 7c = 0 + -9b Remove the zero: 15a + 7c = -9b Add '-7c' to each side of the equation. 15a + 7c + -7c = -9b + -7c Combine like terms: 7c + -7c = 0 15a + 0 = -9b + -7c 15a = -9b + -7c Divide each side by '15'. a = -0.6b + -0.4666666667c Simplifying a = -0.6b + -0.4666666667c
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