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1 vote
4(m+3)-8n=16 what does m =

User YaBCK
by
3.2k points

2 Answers

8 votes

Answer:

m=1+2n

Explanation:

4(m+3)-8n=16

4m+12-8n=16

4m=16-12+8n

4m=4+8n

4m=4(1+2n)

m=1+2n

User Nazar Tereshkovych
by
3.5k points
11 votes

Answer:


\Longrightarrow: \boxed{\sf{m=2n+1}}

Explanation:

To solve this problem, you have to isolate the term of m on one side of the equation.

4(m+3)-8n=16

First, add by 8n from both sides.


\Longrightarrow: \sf{4\left(m+3\right)-8n+8n=16+8n}

Solve.


\Longrightarrow: \sf{4\left(m+3\right)=16+8n}

Then, you divide by 4 from both sides.


\Longrightarrow: \sf{(4\left(m+3\right))/(4)=(16)/(4)+(8n)/(4)}

Solve.

16/4+8n/4=2(n+2)

m+3=2(n+2)

Subtract by 3 from both sides.


\Longrightarrow: \sf{m+3-3=2\left(n+2\right)-3}

Solve.


\Longrightarrow: \boxed{\sf{m=2n+1}}

  • Therefore, the correct answer is m=2n+1.

I hope this helps, let me know if you have any questions.

User JonK
by
3.3k points