Question

a. -3w - 4 = w + 3
w = \boxed{}

Explanation:

Step1: Move the w terms to one side

Add \(3w\) to both sides of the equation \(-3w - 4 = w + 3\) to get \(-4 = 4w + 3\).

Step2: Move the constant terms to the other side

Subtract \(3\) from both sides: \(-4 - 3 = 4w\), which simplifies to \(-7 = 4w\).

Step3: Solve for w

Divide both sides by \(4\): \(w = -\frac{7}{4}\).

Answer:

\(w = -\dfrac{7}{4}\)