Solve Linear Equation: 37b + 6b + 56 = 90 + 9

We begin by simplifying the given equation:

$37b + 6b + 56 = 90 + 9$

First, we combine like terms on the left side of the equation:

$(37 + 6)b + 56$

This simplifies to:

$43b + 56$

Now the equation is:

$43b + 56 = 99$

Next, we need to isolate $b$ by moving the constant term to the right side. We do this by subtracting 56 from both sides:

$43b = 99 - 56$

Simplifying the right-hand side gives us:

$43b = 43$

Finally, to solve for $b$, we divide both sides by 43:

$b = \frac{43}{43}$

This simplifies to:

$b = 1$

Therefore, the solution to the problem is $b = 1$.