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Simplifying 0.5(a + -0.5) = 2 + -1a Reorder the terms: 0.5(-0.5 + a) = 2 + -1a (-0.5 * 0.5 + a * 0.5) = 2 + -1a (-0.25 + 0.5a) = 2 + -1a Solving -0.25 + 0.5a = 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. -0.25 + 0.5a + a = 2 + -1a + a Combine like terms: 0.5a + a = 1.5a -0.25 + 1.5a = 2 + -1a + a Combine like terms: -1a + a = 0 -0.25 + 1.5a = 2 + 0 -0.25 + 1.5a = 2 Add '0.25' to each side of the equation. -0.25 + 0.25 + 1.5a = 2 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 1.5a = 2 + 0.25 1.5a = 2 + 0.25 Combine like terms: 2 + 0.25 = 2.25 1.5a = 2.25 Divide each side by '1.5'. a = 1.5 Simplifying a = 1.5
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