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Simplifying a(1) + b(0.10) = 0.4 Reorder the terms for easier multiplication: 1a + b(0.10) = 0.4 Reorder the terms for easier multiplication: 1a + 0.10b = 0.4 Solving 1a + 0.10b = 0.4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.10b' to each side of the equation. 1a + 0.10b + -0.10b = 0.4 + -0.10b Combine like terms: 0.10b + -0.10b = 0.00 1a + 0.00 = 0.4 + -0.10b 1a = 0.4 + -0.10b Divide each side by '1'. a = 0.4 + -0.10b Simplifying a = 0.4 + -0.10b
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