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Simplifying 4(a + 2b) + 3(3a + 4b) = 0 (a * 4 + 2b * 4) + 3(3a + 4b) = 0 (4a + 8b) + 3(3a + 4b) = 0 4a + 8b + (3a * 3 + 4b * 3) = 0 4a + 8b + (9a + 12b) = 0 Reorder the terms: 4a + 9a + 8b + 12b = 0 Combine like terms: 4a + 9a = 13a 13a + 8b + 12b = 0 Combine like terms: 8b + 12b = 20b 13a + 20b = 0 Solving 13a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. 13a + 20b + -20b = 0 + -20b Combine like terms: 20b + -20b = 0 13a + 0 = 0 + -20b 13a = 0 + -20b Remove the zero: 13a = -20b Divide each side by '13'. a = -1.538461538b Simplifying a = -1.538461538b
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