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Simplifying 11a + b + -19a + 20b = 0 Reorder the terms: 11a + -19a + b + 20b = 0 Combine like terms: 11a + -19a = -8a -8a + b + 20b = 0 Combine like terms: b + 20b = 21b -8a + 21b = 0 Solving -8a + 21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. -8a + 21b + -21b = 0 + -21b Combine like terms: 21b + -21b = 0 -8a + 0 = 0 + -21b -8a = 0 + -21b Remove the zero: -8a = -21b Divide each side by '-8'. a = 2.625b Simplifying a = 2.625b
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