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Simplifying 3 + 0.5(4a + 8) = 6 + f Reorder the terms: 3 + 0.5(8 + 4a) = 6 + f 3 + (8 * 0.5 + 4a * 0.5) = 6 + f 3 + (4 + 2a) = 6 + f Combine like terms: 3 + 4 = 7 7 + 2a = 6 + f Solving 7 + 2a = 6 + f Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = 6 + -7 + f Combine like terms: 7 + -7 = 0 0 + 2a = 6 + -7 + f 2a = 6 + -7 + f Combine like terms: 6 + -7 = -1 2a = -1 + f Divide each side by '2'. a = -0.5 + 0.5f Simplifying a = -0.5 + 0.5f
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