Solve the Equation

Question

10w/2+7-8w=-8(6+w)

Answer 1

To solve the equation, we will simplify both sides step by step.

10w/2 + 7 - 8w = -8(6+w)

First, divide 10w by 2:

5w + 7 - 8w = -8(6+w)

Next, combine the like terms on the left side:

(-3w) + 7 = -8(6 + w)

Now let's distribute the -8 on the right side:

-3w + 7 = -48 - 8w

Next, let's add 8w to both sides:

-3w + 8w + 7 = -48

Combine the like terms on the left side:

5w + 7 = -48

Now, let's subtract 7 from both sides:

5w = -55

Finally, we can solve for w by dividing both sides by 5:

w = -55/5

Simplifying the right side:

w = -11

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