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Simplifying 20a + 17b + 5c + 5c + -6b + -5a = 0 Reorder the terms: 20a + -5a + 17b + -6b + 5c + 5c = 0 Combine like terms: 20a + -5a = 15a 15a + 17b + -6b + 5c + 5c = 0 Combine like terms: 17b + -6b = 11b 15a + 11b + 5c + 5c = 0 Combine like terms: 5c + 5c = 10c 15a + 11b + 10c = 0 Solving 15a + 11b + 10c = 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 + 10c = 0 + -11b Combine like terms: 11b + -11b = 0 15a + 0 + 10c = 0 + -11b 15a + 10c = 0 + -11b Remove the zero: 15a + 10c = -11b Add '-10c' to each side of the equation. 15a + 10c + -10c = -11b + -10c Combine like terms: 10c + -10c = 0 15a + 0 = -11b + -10c 15a = -11b + -10c Divide each side by '15'. a = -0.7333333333b + -0.6666666667c Simplifying a = -0.7333333333b + -0.6666666667c
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