Answer:
b = -76/7
Explanation:
Step 1: Write equation
25(b + 3) = 11(b - 7)
Step 2: Solve for b
Distribute: 25b + 75 = 11b - 77
Subtract 11b on both sides: 14b + 75 = -77
Subtract 75 on both sides: 14b = -152
Divide both sides by 14: b = -76/7
Step 3: Check
Plug in b to verify it's a solution.
25(-76/7 + 3) = 11(-76/7 - 7)
25(-55/7) = 11(-125/7)
-1375/7 = -1375/7