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Simplifying 2a + 4 = 0.5a + -0.25 Reorder the terms: 4 + 2a = 0.5a + -0.25 Reorder the terms: 4 + 2a = -0.25 + 0.5a Solving 4 + 2a = -0.25 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 4 + 2a + -0.5a = -0.25 + 0.5a + -0.5a Combine like terms: 2a + -0.5a = 1.5a 4 + 1.5a = -0.25 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 4 + 1.5a = -0.25 + 0.0 4 + 1.5a = -0.25 Add '-4' to each side of the equation. 4 + -4 + 1.5a = -0.25 + -4 Combine like terms: 4 + -4 = 0 0 + 1.5a = -0.25 + -4 1.5a = -0.25 + -4 Combine like terms: -0.25 + -4 = -4.25 1.5a = -4.25 Divide each side by '1.5'. a = -2.833333333 Simplifying a = -2.833333333
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