Solve the equation.

Question

`\frac{10w}{2}+7-8w=-8\left(6+w\right)`

Put your answer in the solution box belo

Answer 1

To solve the equation, we will simplify both sides and then solve for w.

First, we simplify the left side:

`\frac{10w}{2} + 7 - 8w` becomes `5w + 7 - 8w`

Next, we simplify the right side:

`\-8(6 + w)` becomes `-48 - 8w`

Now, we have the equation:

`5w + 7 - 8w = -48 - 8w`

Let's combine like terms:

`-3w + 7 = -48 - 8w`

To isolate the variable, let's move all the w terms to one side:

`-3w + 8w = -48 - 7`

`5w = -55`

Finally, let's solve for w by dividing both sides by 5:

`w = -11`

Therefore, the solution to the equation is w = -11.