Solve for z w=p(y-z)

Problem

w=p*(y−z)

Solution

1. Distribute the constant p to the terms inside the parentheses on the right side of the equation.

w=p*y−p*z

2. Isolate the term containing z by subtracting p*y from both sides of the equation.

w−p*y=−p*z

3. Divide both sides of the equation by −p to solve for z

(w−p*y)/(−p)=z

4. Simplify the fraction by distributing the negative sign in the denominator to the terms in the numerator.

z=(p*y−w)/p

5. Separate the fraction into two parts to further simplify the expression.

z=(p*y)/p−w/p

6. Cancel the common factor p in the first term.

z=y−w/p

Final Answer

z=y−w/p

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