Question

Solve for w
-20=4(w-2)-8w

Answer 1

w = 3

Explanation:

Now we have to,

→ Find the required value of w.

The equation is,

→ -20 = 4(w - 2) - 8w

Then the value of w will be,

→ -20 = 4(w - 2) - 8w

→ 4(w - 2) - 8w = -20

→ 4(w) - 4(2) - 8w = -20

→ 4w - 8 - 8w = -20

→ -4w - 8 = -20

→ -4w = -20 + 8

→ -4w = -12

→ 4w = 12

→ w = 12 ÷ 4

→ [ w = 3 ]

Hence, the value of w is 3.

Answer 2

Answer: w = 3

Explanation:

We will isolate the variable w with inverse operations and combing like terms.

Given:

-20 = 4(w - 2) - 8w

Distribute:

-20 = 4w - 8 - 8w

Add 8 to both sides of the equation:

-12 = 4w - 8w

Combine like terms:

-12 = -4w

Divide both sides of the equation by -4:

w = 3