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Simplifying 11a + 19b + 3c + 4c + -2b + -3a = 0 Reorder the terms: 11a + -3a + 19b + -2b + 3c + 4c = 0 Combine like terms: 11a + -3a = 8a 8a + 19b + -2b + 3c + 4c = 0 Combine like terms: 19b + -2b = 17b 8a + 17b + 3c + 4c = 0 Combine like terms: 3c + 4c = 7c 8a + 17b + 7c = 0 Solving 8a + 17b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 8a + 17b + -17b + 7c = 0 + -17b Combine like terms: 17b + -17b = 0 8a + 0 + 7c = 0 + -17b 8a + 7c = 0 + -17b Remove the zero: 8a + 7c = -17b Add '-7c' to each side of the equation. 8a + 7c + -7c = -17b + -7c Combine like terms: 7c + -7c = 0 8a + 0 = -17b + -7c 8a = -17b + -7c Divide each side by '8'. a = -2.125b + -0.875c Simplifying a = -2.125b + -0.875c
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