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Simplifying 5a + 2b + 0.10a = 100 Reorder the terms: 5a + 0.10a + 2b = 100 Combine like terms: 5a + 0.10a = 5.1a 5.1a + 2b = 100 Solving 5.1a + 2b = 100 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. 5.1a + 2b + -2b = 100 + -2b Combine like terms: 2b + -2b = 0 5.1a + 0 = 100 + -2b 5.1a = 100 + -2b Divide each side by '5.1'. a = 19.60784314 + -0.3921568627b Simplifying a = 19.60784314 + -0.3921568627b
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