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Simplifying 19.5 + -0.6a + 0.25b = 30.1 + 0.08a + -0.5b Solving 19.5 + -0.6a + 0.25b = 30.1 + 0.08a + -0.5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.08a' to each side of the equation. 19.5 + -0.6a + -0.08a + 0.25b = 30.1 + 0.08a + -0.08a + -0.5b Combine like terms: -0.6a + -0.08a = -0.68a 19.5 + -0.68a + 0.25b = 30.1 + 0.08a + -0.08a + -0.5b Combine like terms: 0.08a + -0.08a = 0.00 19.5 + -0.68a + 0.25b = 30.1 + 0.00 + -0.5b 19.5 + -0.68a + 0.25b = 30.1 + -0.5b Add '-19.5' to each side of the equation. 19.5 + -0.68a + -19.5 + 0.25b = 30.1 + -19.5 + -0.5b Reorder the terms: 19.5 + -19.5 + -0.68a + 0.25b = 30.1 + -19.5 + -0.5b Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -0.68a + 0.25b = 30.1 + -19.5 + -0.5b -0.68a + 0.25b = 30.1 + -19.5 + -0.5b Combine like terms: 30.1 + -19.5 = 10.6 -0.68a + 0.25b = 10.6 + -0.5b Add '-0.25b' to each side of the equation. -0.68a + 0.25b + -0.25b = 10.6 + -0.5b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 -0.68a + 0.00 = 10.6 + -0.5b + -0.25b -0.68a = 10.6 + -0.5b + -0.25b Combine like terms: -0.5b + -0.25b = -0.75b -0.68a = 10.6 + -0.75b Divide each side by '-0.68'. a = -15.58823529 + 1.102941176b Simplifying a = -15.58823529 + 1.102941176b
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