Solve 4(n+7)=-44+2(n+6)

$$4 ( n + 7 ) = - 44 + 2 ( n + 6 )$$

Solve for n

$$n=-30$$

Steps for Solving Linear Equation

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

$$4n+28=-44+2\left(n+6\right)$$

Use the distributive property to multiply 2 by n+6.

$$4n+28=-44+2n+12$$

Add -44 and 12 to get -32.

$$4n+28=-32+2n$$

Subtract 2n from both sides.

$$4n+28-2n=-32$$

Combine 4n and -2n to get 2n.

$$2n+28=-32$$

Subtract 28 from both sides.

$$2n=-32-28$$

Subtract 28 from -32 to get -60.

$$2n=-60$$

Divide both sides by 2.

$$n=\frac{-60}{2}$$

Divide -60 by 2 to get -30.

$$n=-30$$