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Simplifying (a + b) * k + -1g = y Reorder the terms for easier multiplication: k(a + b) + -1g = y (a * k + b * k) + -1g = y (ak + bk) + -1g = y Solving ak + bk + -1g = y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bk' to each side of the equation. ak + bk + -1bk + -1g = -1bk + y Combine like terms: bk + -1bk = 0 ak + 0 + -1g = -1bk + y ak + -1g = -1bk + y Add 'g' to each side of the equation. ak + -1g + g = -1bk + g + y Combine like terms: -1g + g = 0 ak + 0 = -1bk + g + y ak = -1bk + g + y Divide each side by 'k'. a = -1b + gk-1 + k-1y Simplifying a = -1b + gk-1 + k-1y
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