Solve 6(3m-1)+3(2m+3)=1-7m

$$6 ( 3 m - 1 ) + 3 ( 2 m + 3 ) = 1 - 7 m$$

Solve for m

$$m=-\frac{2}{31}\approx -0.064516129$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3m-1.

$$18m-6+3\left(2m+3\right)=1-7m$$

Use the distributive property to multiply 3 by 2m+3.

$$18m-6+6m+9=1-7m$$

Combine 18m and 6m to get 24m.

$$24m-6+9=1-7m$$

Add -6 and 9 to get 3.

$$24m+3=1-7m$$

Add 7m to both sides.

$$24m+3+7m=1$$

Combine 24m and 7m to get 31m.

$$31m+3=1$$

Subtract 3 from both sides.

$$31m=1-3$$

Subtract 3 from 1 to get -2.

$$31m=-2$$

Divide both sides by 31.

$$m=\frac{-2}{31}$$

Fraction \frac{-2}{31} can be rewritten as -\frac{2}{31} by extracting the negative sign.

$$m=-\frac{2}{31}$$