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Simplifying 0.5(4a + 10b) = c (4a * 0.5 + 10b * 0.5) = c (2a + 5b) = c Solving 2a + 5b = c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b = -5b + c Combine like terms: 5b + -5b = 0 2a + 0 = -5b + c 2a = -5b + c Divide each side by '2'. a = -2.5b + 0.5c Simplifying a = -2.5b + 0.5c
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