1) First, you would use the distributive property to simplify the equation.
16 + 4b - 2 = 5b + 11
Next, you would combine like terms.
16 - 2 = b + 11
14 = b + 11
3 = b
There is one answer to this equation. The answer is b = 3.
2) First, use the distributive property to simplify the equation.
5p + 20 = 20 + 5p
Just looking at the simplified equation, we can see, it is that same answer on both side... That means, no matter what number you plug in 'p', the answer will always be correct.
This equation has an infinite number of solutions.
3) The first step would be to use the distributive property to simplify the equation.
-2x + 14 = -2x + 13
Next, you would combine like terms.
-2x + 1 = -2x
1 = 0
1 does not equal 0! So, that means there are no answers to this equation.
This equation has no solution.
4) First, you would use the distributive property to simplify the equation.
-4 + 6x + 2x = -9 + 8x
Next, you would combine like terms.
-4 + 8x = -9 + 8x
-4 = -9
-4 does not equal -9! This equation does not have a solution!
This equation has no solution.
I hope this helps!