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Simplifying (8a) + (5b) = (8.5) + (5a) + (ab) + 8b (8a) + (5b) = 8.5 + (5a) + (ab) + 8b (8a) + (5b) = 8.5 + (5a) + ab + 8b Solving (8a) + (5b) = 8.5 + (5a) + ab + 8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '(-5a)' to each side of the equation. (8a) + (-5a) + (5b) = 8.5 + (5a) + ab + (-5a) + 8b Combine like terms: (8a) + (-5a) = 3a 3a + (5b) = 8.5 + (5a) + ab + (-5a) + 8b Reorder the terms: 3a + (5b) = 8.5 + (5a) + (-5a) + ab + 8b Combine like terms: (5a) + (-5a) = 0 3a + (5b) = 8.5 + 0 + ab + 8b 3a + (5b) = 8.5 + ab + 8b Add '-1ab' to each side of the equation. 3a + -1ab + (5b) = 8.5 + ab + -1ab + 8b Combine like terms: ab + -1ab = 0 3a + -1ab + (5b) = 8.5 + 0 + 8b 3a + -1ab + (5b) = 8.5 + 8b Add '(-5b)' to each side of the equation. 3a + -1ab + (5b) + (-5b) = 8.5 + 8b + (-5b) Combine like terms: (5b) + (-5b) = 0 3a + -1ab + 0 = 8.5 + 8b + (-5b) 3a + -1ab = 8.5 + 8b + (-5b) Combine like terms: 8b + (-5b) = 3b 3a + -1ab = 8.5 + 3b Reorder the terms: -8.5 + 3a + -1ab + -3b = 8.5 + 3b + -8.5 + -3b Reorder the terms: -8.5 + 3a + -1ab + -3b = 8.5 + -8.5 + 3b + -3b Combine like terms: 8.5 + -8.5 = 0.0 -8.5 + 3a + -1ab + -3b = 0.0 + 3b + -3b -8.5 + 3a + -1ab + -3b = 3b + -3b Combine like terms: 3b + -3b = 0 -8.5 + 3a + -1ab + -3b = 0 The solution to this equation could not be determined.
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