Hey there!
-64 = -8(w + 20)
-64 = -8(w) - 8(20)
-64 = -8w - 160
-8w - 160 = -64
ADD 160 to BOTH SIDES
-8w - 160 + 160 = -64 + 160
CANCEL out: -160 + 160 because it gives you 0
KEEP: -64 + 160 because it helps solve for the w-value
NEW EQUATION: -8w = -64 + 160
SIMPLIFY IT!
-8w = 96
DIVIDE -8 to BOTH SIDES
-8w/-8 = 96/-8
CANCEL out: -8/-8 because it gives you 1
KEEP: 96/-8 because it helps solve for the w-value
NEW EQUATION: w = 96/-8
SIMPLIFY IT!
w = -12
Therefore, your answer is: w = -12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)