what is the solution to the linear equation? 4b + 6 = 2 - b + 4 b = -2 b = 0 b = 4 b = 6

Explanation:

Step1: Combine like - terms on right side

First, simplify the right - hand side of the equation $2 - b+4$ to get $6 - b$. So the equation becomes $4b + 6=6 - b$.

Step2: Add $b$ to both sides

Adding $b$ to both sides gives $4b + b+6=6 - b + b$, which simplifies to $5b + 6=6$.

Step3: Subtract 6 from both sides

Subtracting 6 from both sides: $5b+6 - 6=6 - 6$, resulting in $5b = 0$.

Step4: Solve for $b$

Dividing both sides by 5, we have $\frac{5b}{5}=\frac{0}{5}$, so $b = 0$.

Answer:

$b = 0$