Solve 8(2+3z)+1=z-10(z+1)

$$8 ( 2 + 3 z ) + 1 = z - 10 ( z + 1 )$$

Solve for z

$$z=-\frac{9}{11}\approx -0.818181818$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 2+3z.

$$16+24z+1=z-10\left(z+1\right)$$

Add 16 and 1 to get 17.

$$17+24z=z-10\left(z+1\right)$$

Use the distributive property to multiply -10 by z+1.

$$17+24z=z-10z-10$$

Combine z and -10z to get -9z.

$$17+24z=-9z-10$$

Add 9z to both sides.

$$17+24z+9z=-10$$

Combine 24z and 9z to get 33z.

$$17+33z=-10$$

Subtract 17 from both sides.

$$33z=-10-17$$

Subtract 17 from -10 to get -27.

$$33z=-27$$

Divide both sides by 33.

$$z=\frac{-27}{33}$$

Reduce the fraction \frac{-27}{33} to lowest terms by extracting and canceling out 3.

$$z=-\frac{9}{11}$$