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Simplifying 0.25(3 + a) = 0.5 (3 * 0.25 + a * 0.25) = 0.5 (0.75 + 0.25a) = 0.5 Solving 0.75 + 0.25a = 0.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.25a = 0.5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.25a = 0.5 + -0.75 0.25a = 0.5 + -0.75 Combine like terms: 0.5 + -0.75 = -0.25 0.25a = -0.25 Divide each side by '0.25'. a = -1 Simplifying a = -1
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