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Simplifying 0.25(a + 3) = 2 + -1a Reorder the terms: 0.25(3 + a) = 2 + -1a (3 * 0.25 + a * 0.25) = 2 + -1a (0.75 + 0.25a) = 2 + -1a Solving 0.75 + 0.25a = 2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 0.75 + 0.25a + a = 2 + -1a + a Combine like terms: 0.25a + a = 1.25a 0.75 + 1.25a = 2 + -1a + a Combine like terms: -1a + a = 0 0.75 + 1.25a = 2 + 0 0.75 + 1.25a = 2 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 1.25a = 2 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.25a = 2 + -0.75 1.25a = 2 + -0.75 Combine like terms: 2 + -0.75 = 1.25 1.25a = 1.25 Divide each side by '1.25'. a = 1 Simplifying a = 1
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