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Simplifying 0.04(a + 6) + a = 0.5 Reorder the terms: 0.04(6 + a) + a = 0.5 (6 * 0.04 + a * 0.04) + a = 0.5 (0.24 + 0.04a) + a = 0.5 Combine like terms: 0.04a + a = 1.04a 0.24 + 1.04a = 0.5 Solving 0.24 + 1.04a = 0.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.24' to each side of the equation. 0.24 + -0.24 + 1.04a = 0.5 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 1.04a = 0.5 + -0.24 1.04a = 0.5 + -0.24 Combine like terms: 0.5 + -0.24 = 0.26 1.04a = 0.26 Divide each side by '1.04'. a = 0.25 Simplifying a = 0.25
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