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Simplifying 0.18a + 0.1(20 + -1a) = 0.14(20) 0.18a + (20 * 0.1 + -1a * 0.1) = 0.14(20) 0.18a + (2 + -0.1a) = 0.14(20) Reorder the terms: 2 + 0.18a + -0.1a = 0.14(20) Combine like terms: 0.18a + -0.1a = 0.08a 2 + 0.08a = 0.14(20) Multiply 0.14 * 20 2 + 0.08a = 2.8 Solving 2 + 0.08a = 2.8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.08a = 2.8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.08a = 2.8 + -2 0.08a = 2.8 + -2 Combine like terms: 2.8 + -2 = 0.8 0.08a = 0.8 Divide each side by '0.08'. a = 10 Simplifying a = 10
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