Solve -4(5-2n)=8(-6-5n)

$$- 4 ( 5 - 2 n ) = 8 ( - 6 - 5 n )$$

Solve for n

$$n=-\frac{7}{12}\approx -0.583333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 5-2n.

$$-20+8n=8\left(-6-5n\right)$$

Use the distributive property to multiply 8 by -6-5n.

$$-20+8n=-48-40n$$

Add 40n to both sides.

$$-20+8n+40n=-48$$

Combine 8n and 40n to get 48n.

$$-20+48n=-48$$

Add 20 to both sides.

$$48n=-48+20$$

Add -48 and 20 to get -28.

$$48n=-28$$

Divide both sides by 48.

$$n=\frac{-28}{48}$$

Reduce the fraction \frac{-28}{48} to lowest terms by extracting and canceling out 4.

$$n=-\frac{7}{12}$$