2(w + 1) + 4w = 3(2w - 1) + 8
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Answer:
2w + 2 + 4w = 6w - 6 + 8
6w + 2 = 6w + 2
All real numbers are solutions
Answer:
No solution
Step-by-step explanation:
[tex]2\left(w+1\right)+4w=3\left(2w-1\right)+8[/tex]
[tex]2\left(w+1\right)+4w[/tex]
Expand:-
[tex]2w+2+4w[/tex]
[tex]=6w+2[/tex]
[tex]3\left(2w-1\right)+8[/tex]
Expand:-
[tex]6w-3+8[/tex]
[tex]6w+5[/tex]
[tex]6w+2=6w+5[/tex]
Subtract 2 from both sides:-
[tex]6w+2-2=6w+5-2[/tex]
[tex]6w=6w+3[/tex]
Subtract 6w from both sides:-
[tex]6w-6w=6w+3-6w[/tex]
[tex]0=3[/tex]
Sides are not equal, so there is no solution.
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