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Simplifying 7.5 = 0.5(a + 5.5) Reorder the terms: 7.5 = 0.5(5.5 + a) 7.5 = (5.5 * 0.5 + a * 0.5) 7.5 = (2.75 + 0.5a) Solving 7.5 = 2.75 + 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. 7.5 + -0.5a = 2.75 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 7.5 + -0.5a = 2.75 + 0.0 7.5 + -0.5a = 2.75 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.5a = 2.75 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.5a = 2.75 + -7.5 -0.5a = 2.75 + -7.5 Combine like terms: 2.75 + -7.5 = -4.75 -0.5a = -4.75 Divide each side by '-0.5'. a = 9.5 Simplifying a = 9.5
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