Question

solve for w.
8 - -3w = 20
w = \boxed{}

Explanation:

Step1: Simplify the left - hand side

Subtracting a negative number is the same as adding its positive counterpart. So, \(8-(-3w)=8 + 3w\). The equation becomes \(8 + 3w=20\).

Step2: Isolate the term with \(w\)

Subtract 8 from both sides of the equation: \(8 + 3w-8=20 - 8\). This simplifies to \(3w = 12\).

Step3: Solve for \(w\)

Divide both sides of the equation \(3w = 12\) by 3: \(\frac{3w}{3}=\frac{12}{3}\). So, \(w = 4\).

Answer:

\(4\)