Answer:
[tex] \boxed {w = - \frac{7}{4} }[/tex]
Step-by-step explanation:
We want to solve the linear equation -3w-4=w+3
We group like terms to get
[tex] - 3w - w = 3 + 4[/tex]
[tex] - 4w = 7[/tex]
Divide both sides by -4
[tex]w = - \frac{7}{4} [/tex]
Now let us check
[tex] - 3 \times - \frac{7}{4} - 4 = - \frac{7}{4} + 3[/tex]
[tex] \frac{21}{4} - \frac{16}{4} = - \frac{7}{4} + \frac{12}{4} [/tex]
[tex] \frac{5}{4} = \frac{5}{4} [/tex]
This is true
