Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
[tex]\frac{-3}{5}[/tex]*[tex]\frac{15}{8}[/tex] ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
[tex]\frac{-3}{1}[/tex]*[tex]\frac{3}{8}[/tex] -----> now multiply across
w= -9/8
