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Simplifying 21a + -8a + 12b + 2b + -1a = 19 Reorder the terms: 21a + -8a + -1a + 12b + 2b = 19 Combine like terms: 21a + -8a = 13a 13a + -1a + 12b + 2b = 19 Combine like terms: 13a + -1a = 12a 12a + 12b + 2b = 19 Combine like terms: 12b + 2b = 14b 12a + 14b = 19 Solving 12a + 14b = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 12a + 14b + -14b = 19 + -14b Combine like terms: 14b + -14b = 0 12a + 0 = 19 + -14b 12a = 19 + -14b Divide each side by '12'. a = 1.583333333 + -1.166666667b Simplifying a = 1.583333333 + -1.166666667b
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