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Simplifying 3(4a + 5b) + (a + 2b) = 0 (4a * 3 + 5b * 3) + (a + 2b) = 0 (12a + 15b) + (a + 2b) = 0 Remove parenthesis around (a + 2b) 12a + 15b + a + 2b = 0 Reorder the terms: 12a + a + 15b + 2b = 0 Combine like terms: 12a + a = 13a 13a + 15b + 2b = 0 Combine like terms: 15b + 2b = 17b 13a + 17b = 0 Solving 13a + 17b = 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. 13a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 13a + 0 = 0 + -17b 13a = 0 + -17b Remove the zero: 13a = -17b Divide each side by '13'. a = -1.307692308b Simplifying a = -1.307692308b
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