Solve for m m/3+m/6=21

Math
m3+m6=21
Simplify m3+m6.
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To write m3 as a fraction with a common denominator, multiply by 22.
m3⋅22+m6=21
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply m3 and 22.
m⋅23⋅2+m6=21
Multiply 3 by 2.
m⋅26+m6=21
m⋅26+m6=21
Combine the numerators over the common denominator.
m⋅2+m6=21
Simplify the numerator.
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Move 2 to the left of m.
2⋅m+m6=21
Add 2m and m.
3m6=21
3m6=21
Cancel the common factor of 3 and 6.
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Factor 3 out of 3m.
3(m)6=21
Cancel the common factors.
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Factor 3 out of 6.
3m3⋅2=21
Cancel the common factor.
3m3⋅2=21
Rewrite the expression.
m2=21
m2=21
m2=21
m2=21
Multiply both sides of the equation by 2.
2⋅m2=2⋅21
Simplify both sides of the equation.
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Cancel the common factor of 2.
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Cancel the common factor.
2⋅m2=2⋅21
Rewrite the expression.
m=2⋅21
m=2⋅21
Multiply 2 by 21.
m=42
m=42
Solve for m m/3+m/6=21

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