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Simplifying 1.25a + 6 = 8 + 0.25a Reorder the terms: 6 + 1.25a = 8 + 0.25a Solving 6 + 1.25a = 8 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 6 + 1.25a + -0.25a = 8 + 0.25a + -0.25a Combine like terms: 1.25a + -0.25a = 1a 6 + 1a = 8 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 6 + 1a = 8 + 0.00 6 + 1a = 8 Add '-6' to each side of the equation. 6 + -6 + 1a = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = 8 + -6 1a = 8 + -6 Combine like terms: 8 + -6 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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