What is the solution to 4(q+56.5)=30q−1124⁢(𝑞+56.5)=30⁢𝑞-112?

The equation you provided seems to have some formatting issues. However, I'll try to solve it based on my best understanding of what you're asking.

The equation seems to be: 4(q + 56.5) = 30q - 112

Let's solve it step by step:

Step 1: Distribute the 4 on the left side of the equation:

4q + 226 = 30q - 112

Step 2: Subtract 4q from both sides to get all the q terms on one side:

226 = 26q - 112

Step 3: Add 112 to both sides to isolate the q term:

338 = 26q

Step 4: Divide both sides by 26 to solve for q:

q = 338 / 26

So, the solution to the equation is q = 13.