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