To find the solution to the equation 4(q + 56.5) = 30q - 112, we can start by isolating the variable on one side of the equation.
First, we'll distribute the 4 on the left side:
4q + 4(56.5) = 30q - 112
4q + 226 = 30q - 112
Now we'll subtract 4q from both sides:
226 = 26q - 112
Next, we'll add 112 to both sides:
338 = 26q
Finally, we'll divide both sides by 26 to find the value of q:
q = 13
So the solution to the equation 4(q + 56.5) = 30q - 112 is q = 13.