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Simplifying 20a + 20b + 3c + 2c + -6b + -3a = 0 Reorder the terms: 20a + -3a + 20b + -6b + 3c + 2c = 0 Combine like terms: 20a + -3a = 17a 17a + 20b + -6b + 3c + 2c = 0 Combine like terms: 20b + -6b = 14b 17a + 14b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 17a + 14b + 5c = 0 Solving 17a + 14b + 5c = 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. 17a + 14b + -14b + 5c = 0 + -14b Combine like terms: 14b + -14b = 0 17a + 0 + 5c = 0 + -14b 17a + 5c = 0 + -14b Remove the zero: 17a + 5c = -14b Add '-5c' to each side of the equation. 17a + 5c + -5c = -14b + -5c Combine like terms: 5c + -5c = 0 17a + 0 = -14b + -5c 17a = -14b + -5c Divide each side by '17'. a = -0.8235294118b + -0.2941176471c Simplifying a = -0.8235294118b + -0.2941176471c
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