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Simplifying 20a + 13b + 4c + 3c + -5b + -5a = 0 Reorder the terms: 20a + -5a + 13b + -5b + 4c + 3c = 0 Combine like terms: 20a + -5a = 15a 15a + 13b + -5b + 4c + 3c = 0 Combine like terms: 13b + -5b = 8b 15a + 8b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 15a + 8b + 7c = 0 Solving 15a + 8b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 15a + 8b + -8b + 7c = 0 + -8b Combine like terms: 8b + -8b = 0 15a + 0 + 7c = 0 + -8b 15a + 7c = 0 + -8b Remove the zero: 15a + 7c = -8b Add '-7c' to each side of the equation. 15a + 7c + -7c = -8b + -7c Combine like terms: 7c + -7c = 0 15a + 0 = -8b + -7c 15a = -8b + -7c Divide each side by '15'. a = -0.5333333333b + -0.4666666667c Simplifying a = -0.5333333333b + -0.4666666667c
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