Question

Solve the equation. $$4 b=26-9 b$$

Short answer

The solution to the given equation is \(b = 2\).

Step-by-step solution

Rearranging the Equation

The first step is to rearrange the equation to bring all terms involving \(b\) on one side. This can be done by adding \(9b\) to both sides of equation. This gives us \(4b + 9b = 26\).

Simplify the Left Hand Side

Adding the terms on the left hand side will simplify the equation. This results in \(13b = 26\).

Solve for Variable b

Now, to solve for \(b\), divide both sides of the equation by \(13\). This results in: \(b = 26/13\).