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Simplifying -0.875(a + 0.5) = 1.777777777777777 Reorder the terms: -0.875(0.5 + a) = 1.777777777777777 (0.5 * -0.875 + a * -0.875) = 1.777777777777777 (-0.4375 + -0.875a) = 1.777777777777777 Solving -0.4375 + -0.875a = 1.777777777777777 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + -0.875a = 1.777777777777777 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + -0.875a = 1.777777777777777 + 0.4375 -0.875a = 1.777777777777777 + 0.4375 Combine like terms: 1.777777777777777 + 0.4375 = 2.215277777777777 -0.875a = 2.215277777777777 Divide each side by '-0.875'. a = -2.531746032 Simplifying a = -2.531746032
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