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Simplifying (2a + -3b) + (5a + 2b) = 0 Remove parenthesis around (2a + -3b) 2a + -3b + (5a + 2b) = 0 Remove parenthesis around (5a + 2b) 2a + -3b + 5a + 2b = 0 Reorder the terms: 2a + 5a + -3b + 2b = 0 Combine like terms: 2a + 5a = 7a 7a + -3b + 2b = 0 Combine like terms: -3b + 2b = -1b 7a + -1b = 0 Solving 7a + -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. 7a + -1b + b = 0 + b Combine like terms: -1b + b = 0 7a + 0 = 0 + b 7a = 0 + b Remove the zero: 7a = b Divide each side by '7'. a = 0.1428571429b Simplifying a = 0.1428571429b
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