Final answer:
To solve the equation 4(b-5)=15.6 for b, divide both sides by 4 and then add 5 to both sides, resulting in b = 8.9.
Step-by-step explanation:
To solve the equation 4(b-5)=15.6, we need to isolate the variable b. This involves a series of steps involving basic algebraic principles. First, we will divide both sides of the equation by 4 to undo the multiplication. Doing this will give us:
b - 5 = 15.6 / 4
b - 5 = 3.9
Next, we add 5 to both sides to get b by itself:
b = 3.9 + 5
b = 8.9
Therefore, the solution to the equation is b = 8.9.