Question

Solve for W:
-7w+5(w-6)=-22​

Answer 1

The answer is W= -4

-7w+5(w-6)=-22
Distribute:
-7w+5w-30=-22
Combine like terms:
-2w-30=-22
Add 30 on both sides:
-2w=8
Divide by -2 on both sides
W=-4

Answer 2

w = -4

Explanation:

Solve for w:

5 (w - 6) - 7 w = -22

5 (w - 6) = 5 w - 30:

5 w - 30 - 7 w = -22

Grouping like terms, 5 w - 7 w - 30 = (5 w - 7 w) - 30:

(5 w - 7 w) - 30 = -22

5 w - 7 w = -2 w:

-2 w - 30 = -22

Add 30 to both sides:

(30 - 30) - 2 w = 30 - 22

30 - 30 = 0:

-2 w = 30 - 22

30 - 22 = 8:

-2 w = 8

Divide both sides of -2 w = 8 by -2:

(-2 w)/(-2) = 8/(-2)

(-2)/(-2) = 1:

w = 8/(-2)

The gcd of 8 and -2 is 2, so 8/(-2) = (2×4)/(2 (-1)) = 2/2×4/(-1) = 4/(-1):

w = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:

Answer: w = -4