Final answer:
To solve the equation, distribute the 1/5 to the terms inside the parentheses, combine like terms, isolate the variable, and solve for b.
Step-by-step explanation:
To solve the equation, we need to isolate the variable b. First, we can distribute the 1/5 to the terms inside the parentheses:
1/5(15b-7) = 3b-9
3b - 9 = 15b - 7
Next, we can simplify the equation by combining like terms. Subtracting 3b from both sides:
-9 = 12b - 7
Now we can isolate the variable further by adding 7 to both sides:
-2 = 12b
Finally, divide both sides by 12 to solve for b:
b = -2/12 = -1/6