Solve 1/3(6m+21)=m-7

$$\frac { 1 } { 3 } ( 6 m + 21 ) = m - 7$$

Solve for m

$$m=-14$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 6m+21.

$$\frac{1}{3}\times 6m+\frac{1}{3}\times 21=m-7$$

Multiply \frac{1}{3} and 6 to get \frac{6}{3}.

$$\frac{6}{3}m+\frac{1}{3}\times 21=m-7$$

Divide 6 by 3 to get 2.

$$2m+\frac{1}{3}\times 21=m-7$$

Multiply \frac{1}{3} and 21 to get \frac{21}{3}.

$$2m+\frac{21}{3}=m-7$$

Divide 21 by 3 to get 7.

$$2m+7=m-7$$

Subtract m from both sides.

$$2m+7-m=-7$$

Combine 2m and -m to get m.

$$m+7=-7$$

Subtract 7 from both sides.

$$m=-7-7$$

Subtract 7 from -7 to get -14.

$$m=-14$$