Solve 3(5-n)-3(1-2n)=42

$$3 ( 5 - n ) - 3 ( 1 - 2 n ) = 42$$

Solve for n

$$n=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5-n.

$$15-3n-3\left(1-2n\right)=42$$

Use the distributive property to multiply -3 by 1-2n.

$$15-3n-3+6n=42$$

Subtract 3 from 15 to get 12.

$$12-3n+6n=42$$

Combine -3n and 6n to get 3n.

$$12+3n=42$$

Subtract 12 from both sides.

$$3n=42-12$$

Subtract 12 from 42 to get 30.

$$3n=30$$

Divide both sides by 3.

$$n=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$n=10$$