yr+s=tx-m

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Solution for yr+s=tx-m equation:


Simplifying
yr + s = tx + -1m

Reorder the terms:
ry + s = -1m + tx

Solving
ry + s = -1m + tx

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1s' to each side of the equation.
ry + s + -1s = -1m + -1s + tx

Combine like terms: s + -1s = 0
ry + 0 = -1m + -1s + tx
ry = -1m + -1s + tx

Divide each side by 'y'.
r = -1my-1 + -1sy-1 + txy-1

Simplifying
r = -1my-1 + -1sy-1 + txy-1

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