Solve 36m+8(3m+6)=3m-16

$$36 m + 8 ( 3 m + 6 ) = 3 m - 16$$

Solve for m

$$m = -\frac{64}{57} = -1\frac{7}{57} \approx -1.122807018$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 3m+6.

$$36m+24m+48=3m-16$$

Combine 36m and 24m to get 60m.

$$60m+48=3m-16$$

Subtract 3m from both sides.

$$60m+48-3m=-16$$

Combine 60m and -3m to get 57m.

$$57m+48=-16$$

Subtract 48 from both sides.

$$57m=-16-48$$

Subtract 48 from -16 to get -64.

$$57m=-64$$

Divide both sides by 57.

$$m=\frac{-64}{57}$$

Fraction \frac{-64}{57} can be rewritten as -\frac{64}{57} by extracting the negative sign.

$$m=-\frac{64}{57}$$