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Simplifying (2a + 3b) + (8a + -5b) = 0 Remove parenthesis around (2a + 3b) 2a + 3b + (8a + -5b) = 0 Remove parenthesis around (8a + -5b) 2a + 3b + 8a + -5b = 0 Reorder the terms: 2a + 8a + 3b + -5b = 0 Combine like terms: 2a + 8a = 10a 10a + 3b + -5b = 0 Combine like terms: 3b + -5b = -2b 10a + -2b = 0 Solving 10a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 10a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 10a + 0 = 0 + 2b 10a = 0 + 2b Remove the zero: 10a = 2b Divide each side by '10'. a = 0.2b Simplifying a = 0.2b
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