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Simplifying 6a + 7 = 9.75 + 0.5a Reorder the terms: 7 + 6a = 9.75 + 0.5a Solving 7 + 6a = 9.75 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 7 + 6a + -0.5a = 9.75 + 0.5a + -0.5a Combine like terms: 6a + -0.5a = 5.5a 7 + 5.5a = 9.75 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 7 + 5.5a = 9.75 + 0.0 7 + 5.5a = 9.75 Add '-7' to each side of the equation. 7 + -7 + 5.5a = 9.75 + -7 Combine like terms: 7 + -7 = 0 0 + 5.5a = 9.75 + -7 5.5a = 9.75 + -7 Combine like terms: 9.75 + -7 = 2.75 5.5a = 2.75 Divide each side by '5.5'. a = 0.5 Simplifying a = 0.5
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