-3b+16=4(b-3) explain how to solve this

Answer 1

To solve this equation, you can use the distributive property to simplify both sides of the equation.

Starting with the left side of the equation:
-3b + 16

The distributive property states that for any value a, b, and c:
a(b + c) = ab + ac

In this case, we have:
-3(b - 3)

Using the distributive property, we can multiply -3 by both terms inside the parentheses:
-3b + 9

Now, our equation looks like this:
-3b + 16 = -3b + 9

Next, we can combine like terms on both sides of the equation.
Since we have -3b on both sides, we can subtract -3b from both sides to eliminate it:
-3b + 16 - (-3b) = -3b + 9 - (-3b)

Simplifying both sides:
16 = 9

This equation is not true, since 16 does not equal 9.

Therefore, the given equation -3b + 16 = 4(b - 3) does not have a solution.