Respuesta :

simplify brackets

(7w - 2 - w = 2(3w - 1)

simplify 7w - 2 - w to 6w - 2

(6w - 2 = 2(3w - 1)

Expand

(6w - 2 = 6w - 2)

Since both sides are equal, there are infinitely many solutions

Answer: C) INFINITELY MANY

The equation 7w−(2+w)=2(3w−1)  has infinitely many solutions

The given equation is:

7w  -  (2 + w)   =  2(3w  -  1)

Expand the equation using the distributive rule

7w  -  2  -  w    =  6w  -  2

Collect like terms

7w  -  w  -  6w   =   -  2   +  2

Simplify the right and left hand sides

6w   -   6w  =   0

0   =   0

Since the right hand side equals the left hand side, the equation has infinitely many solutions

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