Solve -3(-8u+9)-7u=3(u-6)-3

$$- 3 ( - 8 u + 9 ) - 7 u = 3 ( u - 6 ) - 3$$

Solve for u

$$u=\frac{3}{7}\approx 0.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by -8u+9.

$$24u-27-7u=3\left(u-6\right)-3$$

Combine 24u and -7u to get 17u.

$$17u-27=3\left(u-6\right)-3$$

Use the distributive property to multiply 3 by u-6.

$$17u-27=3u-18-3$$

Subtract 3 from -18 to get -21.

$$17u-27=3u-21$$

Subtract 3u from both sides.

$$17u-27-3u=-21$$

Combine 17u and -3u to get 14u.

$$14u-27=-21$$

Add 27 to both sides.

$$14u=-21+27$$

Add -21 and 27 to get 6.

$$14u=6$$

Divide both sides by 14.

$$u=\frac{6}{14}$$

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$u=\frac{3}{7}$$