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Simplifying 0.25a + -0.4 = 0.8 + -0.83a Reorder the terms: -0.4 + 0.25a = 0.8 + -0.83a Solving -0.4 + 0.25a = 0.8 + -0.83a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.83a' to each side of the equation. -0.4 + 0.25a + 0.83a = 0.8 + -0.83a + 0.83a Combine like terms: 0.25a + 0.83a = 1.08a -0.4 + 1.08a = 0.8 + -0.83a + 0.83a Combine like terms: -0.83a + 0.83a = 0.00 -0.4 + 1.08a = 0.8 + 0.00 -0.4 + 1.08a = 0.8 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.08a = 0.8 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.08a = 0.8 + 0.4 1.08a = 0.8 + 0.4 Combine like terms: 0.8 + 0.4 = 1.2 1.08a = 1.2 Divide each side by '1.08'. a = 1.111111111 Simplifying a = 1.111111111
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