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 $4b + 6=2 - b+4$.
$4b + 6=6 - b$

Step2: Add $b$ to both sides

To get all the $b$ terms on one side, add $b$ to both sides of the equation.
$4b + b+6=6 - b + b$
$5b+6 = 6$

Step3: Subtract 6 from both sides

Subtract 6 from both sides to isolate the term with $b$.
$5b+6 - 6=6 - 6$
$5b=0$

Step4: Solve for $b$

Divide both sides by 5.
$\frac{5b}{5}=\frac{0}{5}$
$b = 0$

Answer:

$b = 0$