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Simplifying (15a + 2b) + (4a + -3b) = 0 Remove parenthesis around (15a + 2b) 15a + 2b + (4a + -3b) = 0 Remove parenthesis around (4a + -3b) 15a + 2b + 4a + -3b = 0 Reorder the terms: 15a + 4a + 2b + -3b = 0 Combine like terms: 15a + 4a = 19a 19a + 2b + -3b = 0 Combine like terms: 2b + -3b = -1b 19a + -1b = 0 Solving 19a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 19a + -1b + b = 0 + b Combine like terms: -1b + b = 0 19a + 0 = 0 + b 19a = 0 + b Remove the zero: 19a = b Divide each side by '19'. a = 0.05263157895b Simplifying a = 0.05263157895b
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