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Simplifying 0.5a + 8.75 = 13.25 + -1a Reorder the terms: 8.75 + 0.5a = 13.25 + -1a Solving 8.75 + 0.5a = 13.25 + -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. 8.75 + 0.5a + a = 13.25 + -1a + a Combine like terms: 0.5a + a = 1.5a 8.75 + 1.5a = 13.25 + -1a + a Combine like terms: -1a + a = 0 8.75 + 1.5a = 13.25 + 0 8.75 + 1.5a = 13.25 Add '-8.75' to each side of the equation. 8.75 + -8.75 + 1.5a = 13.25 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 1.5a = 13.25 + -8.75 1.5a = 13.25 + -8.75 Combine like terms: 13.25 + -8.75 = 4.5 1.5a = 4.5 Divide each side by '1.5'. a = 3 Simplifying a = 3
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