Solve 8(3+4n)=5(6+7n)

$$8 ( 3 + 4 n ) = 5 ( 6 + 7 n )$$

Solve for n

$$n=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 3+4n.

$$24+32n=5\left(6+7n\right)$$

Use the distributive property to multiply 5 by 6+7n.

$$24+32n=30+35n$$

Subtract 35n from both sides.

$$24+32n-35n=30$$

Combine 32n and -35n to get -3n.

$$24-3n=30$$

Subtract 24 from both sides.

$$-3n=30-24$$

Subtract 24 from 30 to get 6.

$$-3n=6$$

Divide both sides by -3.

$$n=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$n=-2$$