Solve (2z-7)-3(3z+8)=4z-9

$$( 2 z - 7 ) - 3 ( 3 z + 8 ) = 4 z - 9$$

Solve for z

$$z=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 3z+8.

$$2z-7-9z-24=4z-9$$

Combine 2z and -9z to get -7z.

$$-7z-7-24=4z-9$$

Subtract 24 from -7 to get -31.

$$-7z-31=4z-9$$

Subtract 4z from both sides.

$$-7z-31-4z=-9$$

Combine -7z and -4z to get -11z.

$$-11z-31=-9$$

Add 31 to both sides.

$$-11z=-9+31$$

Add -9 and 31 to get 22.

$$-11z=22$$

Divide both sides by -11.

$$z=\frac{22}{-11}$$

Divide 22 by -11 to get -2.

$$z=-2$$