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Simplifying 0.25(a + 2) = 0.16(5 + -1a) Reorder the terms: 0.25(2 + a) = 0.16(5 + -1a) (2 * 0.25 + a * 0.25) = 0.16(5 + -1a) (0.5 + 0.25a) = 0.16(5 + -1a) 0.5 + 0.25a = (5 * 0.16 + -1a * 0.16) 0.5 + 0.25a = (0.8 + -0.16a) Solving 0.5 + 0.25a = 0.8 + -0.16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.16a' to each side of the equation. 0.5 + 0.25a + 0.16a = 0.8 + -0.16a + 0.16a Combine like terms: 0.25a + 0.16a = 0.41a 0.5 + 0.41a = 0.8 + -0.16a + 0.16a Combine like terms: -0.16a + 0.16a = 0.00 0.5 + 0.41a = 0.8 + 0.00 0.5 + 0.41a = 0.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.41a = 0.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.41a = 0.8 + -0.5 0.41a = 0.8 + -0.5 Combine like terms: 0.8 + -0.5 = 0.3 0.41a = 0.3 Divide each side by '0.41'. a = 0.7317073171 Simplifying a = 0.7317073171
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