Solve for M N=3/2M+22

Math
N=32M+22
Rewrite the equation as 32M+22=N.
32M+22=N
Combine 32 and M.
3M2+22=N
Subtract 22 from both sides of the equation.
3M2=N-22
Multiply both sides of the equation by 23.
23⋅3M2=23⋅(N-22)
Simplify both sides of the equation.
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Simplify 23⋅3M2.
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Cancel the common factor of 2.
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Cancel the common factor.
23⋅3M2=23⋅(N-22)
Rewrite the expression.
13⋅(3M)=23⋅(N-22)
13⋅(3M)=23⋅(N-22)
Cancel the common factor of 3.
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Factor 3 out of 3M.
13⋅(3(M))=23⋅(N-22)
Cancel the common factor.
13⋅(3M)=23⋅(N-22)
Rewrite the expression.
M=23⋅(N-22)
M=23⋅(N-22)
M=23⋅(N-22)
Simplify 23⋅(N-22).
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Apply the distributive property.
M=23N+23⋅-22
Combine 23 and N.
M=2N3+23⋅-22
Multiply 23⋅-22.
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Combine 23 and -22.
M=2N3+2⋅-223
Multiply 2 by -22.
M=2N3+-443
M=2N3+-443
Move the negative in front of the fraction.
M=2N3-443
M=2N3-443
M=2N3-443
Solve for M N=3/2M+22

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