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Simplifying 4.5 + -0.25a + 8 = 9.5 Reorder the terms: 4.5 + 8 + -0.25a = 9.5 Combine like terms: 4.5 + 8 = 12.5 12.5 + -0.25a = 9.5 Solving 12.5 + -0.25a = 9.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + -0.25a = 9.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -0.25a = 9.5 + -12.5 -0.25a = 9.5 + -12.5 Combine like terms: 9.5 + -12.5 = -3 -0.25a = -3 Divide each side by '-0.25'. a = 12 Simplifying a = 12
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