Question

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

Answer 1

Answer:

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

6w + 2 = 6w + 2

All real numbers are solutions

Answer 2

Answer:

No solution

Step-by-step 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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