# Solve for m 4/7m=18-2/7m

47m=18-27m
Combine 47 and m.
4m7=18-27m
Simplify each term.
Combine m and 27.
4m7=18-m⋅27
Move 2 to the left of m.
4m7=18-2m7
4m7=18-2m7
Move all terms containing m to the left side of the equation.
Add 2m7 to both sides of the equation.
4m7+2m7=18
Combine the numerators over the common denominator.
4m+2m7=18
6m7=18
6m7=18
Multiply both sides of the equation by 76.
76⋅6m7=76⋅18
Simplify both sides of the equation.
Simplify 76⋅6m7.
Cancel the common factor of 7.
Cancel the common factor.
76⋅6m7=76⋅18
Rewrite the expression.
16⋅(6m)=76⋅18
16⋅(6m)=76⋅18
Cancel the common factor of 6.
Factor 6 out of 6m.
16⋅(6(m))=76⋅18
Cancel the common factor.
16⋅(6m)=76⋅18
Rewrite the expression.
m=76⋅18
m=76⋅18
m=76⋅18
Simplify 76⋅18.
Cancel the common factor of 6.
Factor 6 out of 18.
m=76⋅(6(3))
Cancel the common factor.
m=76⋅(6⋅3)
Rewrite the expression.
m=7⋅3
m=7⋅3
Multiply 7 by 3.
m=21
m=21
m=21
Solve for m 4/7m=18-2/7m

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