Question

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

Explanation:

Step1: Simplify the right - hand side

Combine like terms on the right - hand side of the equation $4b + 6=2 - b+4$. The right - hand side simplifies to $2 + 4-b=6 - b$. So the equation becomes $4b + 6=6 - b$.

Step2: Add b to both sides

Adding $b$ to both sides of the equation $4b + 6=6 - b$ gives $(4b + b)+6=(6 - b)+b$. This simplifies to $5b+6 = 6$.

Step3: Subtract 6 from both sides

Subtract 6 from both sides: $5b+6 - 6=6 - 6$. So $5b=0$.

Step4: Solve for b

Divide both sides of the equation $5b = 0$ by 5. We get $b=\frac{0}{5}=0$.

Answer:

b = 0