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Simplifying 11a + 11b + 3c + 6c + -5b + -3a = 0 Reorder the terms: 11a + -3a + 11b + -5b + 3c + 6c = 0 Combine like terms: 11a + -3a = 8a 8a + 11b + -5b + 3c + 6c = 0 Combine like terms: 11b + -5b = 6b 8a + 6b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 8a + 6b + 9c = 0 Solving 8a + 6b + 9c = 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. 8a + 6b + -6b + 9c = 0 + -6b Combine like terms: 6b + -6b = 0 8a + 0 + 9c = 0 + -6b 8a + 9c = 0 + -6b Remove the zero: 8a + 9c = -6b Add '-9c' to each side of the equation. 8a + 9c + -9c = -6b + -9c Combine like terms: 9c + -9c = 0 8a + 0 = -6b + -9c 8a = -6b + -9c Divide each side by '8'. a = -0.75b + -1.125c Simplifying a = -0.75b + -1.125c
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