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Simplifying 18a + 11b + 5c + 6c + -5b + -3a = 0 Reorder the terms: 18a + -3a + 11b + -5b + 5c + 6c = 0 Combine like terms: 18a + -3a = 15a 15a + 11b + -5b + 5c + 6c = 0 Combine like terms: 11b + -5b = 6b 15a + 6b + 5c + 6c = 0 Combine like terms: 5c + 6c = 11c 15a + 6b + 11c = 0 Solving 15a + 6b + 11c = 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 + 11c = 0 + -6b Combine like terms: 6b + -6b = 0 15a + 0 + 11c = 0 + -6b 15a + 11c = 0 + -6b Remove the zero: 15a + 11c = -6b Add '-11c' to each side of the equation. 15a + 11c + -11c = -6b + -11c Combine like terms: 11c + -11c = 0 15a + 0 = -6b + -11c 15a = -6b + -11c Divide each side by '15'. a = -0.4b + -0.7333333333c Simplifying a = -0.4b + -0.7333333333c
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