Answer:
[tex]w=-10[/tex]
Step-by-step explanation:
[tex]- 4w - 43 = 3 (w+9)[/tex]
Simplify 3(w+9) :
[tex]3w+27[/tex]
[tex]- 4w - 43 = 3w + 27[/tex]
Add 43 to both sides:
[tex]-4w=3w+70[/tex]
Subtract 3 from both sides:
[tex]-7w=70[/tex]
Divide both sides by -7:
[tex]w=-10[/tex]