Final answer:
To solve the equation (b+3)/(-5)=-7, multiply both sides of the equation by -5 to eliminate the denominator, isolate b, and then check the solution by substituting b back into the equation.
Step-by-step explanation:
To solve the equation (b+3)/(-5)=-7, we can start by multiplying both sides of the equation by -5 to eliminate the denominator. This gives us b+3 = -7*(-5), which simplifies to b+3 = 35. Next, we can subtract 3 from both sides of the equation to isolate b, giving us b = 35 - 3 = 32.
To check our solution, we substitute b = 32 back into the original equation and see if both sides of the equation are equal. In this case, when we substitute 32 for b, we get (32+3)/(-5) = 35/(-5) = -7. Since both sides of the equation are equal, we can conclude that the solution b=32 is correct.