Rearrange formulas to isolate a chosen quantity and interpret the result.
Rearrange a formula by undoing an outer factor and then isolating the variable inside a group
Problem
Rearrange \(P~=~2(l~+~w)\) to solve for \(l\).
Big Picture
What this problem is really about
The parentheses reveal the operation layers around the target variable. We’ll work from the outside inward: first undo the factor multiplying the entire group, then undo the addition still inside the group. Applying each inverse operation to both sides preserves equality and isolates the requested length without accidentally applying the outside factor to only one term.
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