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Simplifying 20a + 12b + 5c + 3c + -6b + -5a = 0 Reorder the terms: 20a + -5a + 12b + -6b + 5c + 3c = 0 Combine like terms: 20a + -5a = 15a 15a + 12b + -6b + 5c + 3c = 0 Combine like terms: 12b + -6b = 6b 15a + 6b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 15a + 6b + 8c = 0 Solving 15a + 6b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 15a + 6b + -6b + 8c = 0 + -6b Combine like terms: 6b + -6b = 0 15a + 0 + 8c = 0 + -6b 15a + 8c = 0 + -6b Remove the zero: 15a + 8c = -6b Add '-8c' to each side of the equation. 15a + 8c + -8c = -6b + -8c Combine like terms: 8c + -8c = 0 15a + 0 = -6b + -8c 15a = -6b + -8c Divide each side by '15'. a = -0.4b + -0.5333333333c Simplifying a = -0.4b + -0.5333333333c
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