S+Ax=(m-p)

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Solution for S+Ax=(m-p) equation: 


Simplifying
S + Ax = (m + -1p)

Remove parenthesis around (m + -1p)
S + xA = m + -1p

Solving
S + xA = m + -1p

Solving for variable 'S'.

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

Add '-1xA' to each side of the equation.
S + xA + -1xA = m + -1p + -1xA

Combine like terms: xA + -1xA = 0
S + 0 = m + -1p + -1xA
S = m + -1p + -1xA

Simplifying
S = m + -1p + -1xA

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