Solve -7(4n+1)+5(1+6n)=3n-5+8

$$- 7 ( 4 n + 1 ) + 5 ( 1 + 6 n ) = 3 n - 5 + 8$$

Solve for n

$$n=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 4n+1.

$$-28n-7+5\left(1+6n\right)=3n-5+8$$

Use the distributive property to multiply 5 by 1+6n.

$$-28n-7+5+30n=3n-5+8$$

Add -7 and 5 to get -2.

$$-28n-2+30n=3n-5+8$$

Combine -28n and 30n to get 2n.

$$2n-2=3n-5+8$$

Add -5 and 8 to get 3.

$$2n-2=3n+3$$

Subtract 3n from both sides.

$$2n-2-3n=3$$

Combine 2n and -3n to get -n.

$$-n-2=3$$

Add 2 to both sides.

$$-n=3+2$$

Add 3 and 2 to get 5.

$$-n=5$$

Multiply both sides by -1.

$$n=-5$$