Question

2(w + 1) + 4w = 3(2w - 1) + 8

Answer 1

2w + 2 + 4w = 6w - 6 + 8

6w + 2 = 6w + 2

All real numbers are solutions

Answer 2

No solution

Explanation:

`2\left(w+1\right)+4w=3\left(2w-1\right)+8`

`2\left(w+1\right)+4w`

Expand:-

`2w+2+4w`

`=6w+2`

`3\left(2w-1\right)+8`

Expand:-

`6w-3+8`

`6w+5`

`6w+2=6w+5`

Subtract 2 from both sides:-

`6w+2-2=6w+5-2`

`6w=6w+3`

Subtract 6w from both sides:-

`6w-6w=6w+3-6w`

`0=3`

Sides are not equal, so there is no solution.

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