Solve for W.

Question

6(w+1) = -4(5w-5)+8w

Answer 1

6(w+1) = -4(5w-5)+8w

First, distribute the -4 to both terms inside the parentheses:

6(w+1) = -20w + 20 + 8w

Now, distribute the 6 to both terms inside the parentheses:

6w + 6 = -20w + 20 + 8w

Combine like terms by adding the w terms:

14w + 6 = 20

Subtract 6 from both sides:

14w = 14

Finally, divide both sides by 14 to solve for w:

w = 1

Answer 2

incorrect

Answer 3

Apologies for the mistake.

Let's try again.

6(w+1) = -4(5w-5)+8w

First, distribute the -4 to both terms inside the parentheses:

6(w+1) = -20w + 20 + 8w

Now, distribute the 6 to both terms inside the parentheses:

6w + 6 = -20w + 20 + 8w

Combine like terms by adding the w terms:

6w + 6 = -12w + 20

Next, move all terms containing w to one side:

6w + 12w = 20 - 6

Combine like terms:

18w = 14

Divide both sides by 18 to solve for w:

w = 14/18

Simplifying further:

w = 7/9