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Simplifying 8in(a) + in(b) = in Multiply in * a 8ain + in(b) = in Multiply in * b 8ain + bin = in Solving 8ain + bin = in Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bin' to each side of the equation. 8ain + bin + -1bin = -1bin + in Combine like terms: bin + -1bin = 0 8ain + 0 = -1bin + in 8ain = -1bin + in Divide each side by '8in'. a = -0.125b + 0.125 Simplifying a = -0.125b + 0.125 Reorder the terms: a = 0.125 + -0.125b
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