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Simplifying (2a + 3b) + (5a + -8b) = 0 Remove parenthesis around (2a + 3b) 2a + 3b + (5a + -8b) = 0 Remove parenthesis around (5a + -8b) 2a + 3b + 5a + -8b = 0 Reorder the terms: 2a + 5a + 3b + -8b = 0 Combine like terms: 2a + 5a = 7a 7a + 3b + -8b = 0 Combine like terms: 3b + -8b = -5b 7a + -5b = 0 Solving 7a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 7a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 7a + 0 = 0 + 5b 7a = 0 + 5b Remove the zero: 7a = 5b Divide each side by '7'. a = 0.7142857143b Simplifying a = 0.7142857143b
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