Solve -10n+3(8+8n)=6(n-4)

$$- 10 n + 3 ( 8 + 8 n ) = 6 ( n - 4 )$$

Solve for n

$$n=-6$$

Steps for Solving Linear Equation

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

$$-10n+24+24n=6\left(n-4\right)$$

Combine -10n and 24n to get 14n.

$$14n+24=6\left(n-4\right)$$

Use the distributive property to multiply 6 by n-4.

$$14n+24=6n-24$$

Subtract 6n from both sides.

$$14n+24-6n=-24$$

Combine 14n and -6n to get 8n.

$$8n+24=-24$$

Subtract 24 from both sides.

$$8n=-24-24$$

Subtract 24 from -24 to get -48.

$$8n=-48$$

Divide both sides by 8.

$$n=\frac{-48}{8}$$

Divide -48 by 8 to get -6.

$$n=-6$$