Question

Solve for W.

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

[AI-generated answer — Bot GPT 3.5]

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

Answer 4

[AI-generated answer — Explain Bot]

To solve for W, we need to simplify and then isolate the variable on one side of the equation. Let's start by simplifying both sides of the equation.

First, let's expand the equation by distributing the coefficients:

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

Multiplying the coefficients inside the brackets, we get:

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

Next, let's combine like terms. On the right side, we have -20w + 20 + 8w. We can simplify this by combining the two w terms:

6w + 6 = -12w + 20

Now, let's isolate the variable w by moving all the terms involving w to one side of the equation. We can do this by adding 12w to both sides:

6w + 12w + 6 = -12w + 12w + 20

Simplifying further, we get:

18w + 6 = 20

To isolate w, we need to get rid of the constant term on the left side. We can do this by subtracting 6 from both sides:

18w + 6 - 6 = 20 - 6

Simplifying further, we have:

18w = 14

Finally, to solve for w, we divide both sides by the coefficient of w, which is 18:

(18w)/18 = 14/18

Simplifying this, we get:

w = 14/18

The answer for w is 14/18, which can be further simplified to 7/9.