To solve this, we can combine like terms and distribute. Let’s begin by stating the expression:
w + 5w + 4 = 3(2w - 1)
Now, let’s combine like terms:
6w + 4 = 3(2w - 1)
Now, let’s distribute:
6w + 4 = 6w - 3
Our next step is to isolate the variable on the left side. To do so, we can subtract 4 from both sides:
6w + (4 - 4) = 6w - 3 - 4
Now, we can simplify:
6w = 6w - 7
Let’s subtract 6 from all sides:
6w - 6w = 6w - 7 - 6w
0 = 0 - 7
0 = -7
This expression has no solutions; 0 will never equal -7. Hence, we have no solutions.