Solve the equation.
`\frac{10w}{2}+7-8w=-8\left(6+w\right)`
Put your answer in the solution box belo
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.