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Simplifying x(q + r) = s (q * x + r * x) = s (qx + rx) = s Solving qx + rx = s Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1rx' to each side of the equation. qx + rx + -1rx = -1rx + s Combine like terms: rx + -1rx = 0 qx + 0 = -1rx + s qx = -1rx + s Divide each side by 'x'. q = -1r + sx-1 Simplifying q = -1r + sx-1
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