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Simplifying 20a + 15b + 5c + 2c + -4b + -5a = 0 Reorder the terms: 20a + -5a + 15b + -4b + 5c + 2c = 0 Combine like terms: 20a + -5a = 15a 15a + 15b + -4b + 5c + 2c = 0 Combine like terms: 15b + -4b = 11b 15a + 11b + 5c + 2c = 0 Combine like terms: 5c + 2c = 7c 15a + 11b + 7c = 0 Solving 15a + 11b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 15a + 11b + -11b + 7c = 0 + -11b Combine like terms: 11b + -11b = 0 15a + 0 + 7c = 0 + -11b 15a + 7c = 0 + -11b Remove the zero: 15a + 7c = -11b Add '-7c' to each side of the equation. 15a + 7c + -7c = -11b + -7c Combine like terms: 7c + -7c = 0 15a + 0 = -11b + -7c 15a = -11b + -7c Divide each side by '15'. a = -0.7333333333b + -0.4666666667c Simplifying a = -0.7333333333b + -0.4666666667c
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