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Simplifying 4a + 2b + -9(3a + -9b) = 0 4a + 2b + (3a * -9 + -9b * -9) = 0 4a + 2b + (-27a + 81b) = 0 Reorder the terms: 4a + -27a + 2b + 81b = 0 Combine like terms: 4a + -27a = -23a -23a + 2b + 81b = 0 Combine like terms: 2b + 81b = 83b -23a + 83b = 0 Solving -23a + 83b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-83b' to each side of the equation. -23a + 83b + -83b = 0 + -83b Combine like terms: 83b + -83b = 0 -23a + 0 = 0 + -83b -23a = 0 + -83b Remove the zero: -23a = -83b Divide each side by '-23'. a = 3.608695652b Simplifying a = 3.608695652b
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