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What is the value of m in the equation 4m + 2(m + 1) = 9m + 5? (4 points)



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4m+2.m+2.1=9m+5


6m+2=9m+5


9m-6m=2-5


3m= -3


m= -1

Answer:  The value of 'm' is - 1.

Step-by-step explanation:  We are given to find the value of 'm' from the following equation:

\(4m+2(m+1)=9m+5.\)

The solution is as follows:

\(4m+2(m+1)=9m+5\\\\\Rightarrow 4m+2m+2=9m+5\\\\\Rightarrow 6m+2=9m+5\\\\\Rightarrow 6m-9m=5-2\\\\\Rightarrow -3m=3\\\\\Rightarrow m=\dfrac{3}{-3}\\\\\Rightarrow m=-1.\)

Thus, the required value of 'm' is - 1.

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