Question

Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Ø
{0}
all reals

Answer 1

18 - 3n + 2 = n + 20 - 4n
20-3n=20-3n
Now, substitute any value for n and see u get a True statement or False statement.

Answer 2

Simplifying
18 + -3n + 2 = n + 20 + -4n

Reorder the terms:
18 + 2 + -3n = n + 20 + -4n

Combine like terms: 18 + 2 = 20
20 + -3n = n + 20 + -4n

Reorder the terms:
20 + -3n = 20 + n + -4n

Combine like terms: n + -4n = -3n
20 + -3n = 20 + -3n

Add '-20' to each side of the equation.
20 + -20 + -3n = 20 + -20 + -3n

Combine like terms: 20 + -20 = 0
0 + -3n = 20 + -20 + -3n
-3n = 20 + -20 + -3n

Combine like terms: 20 + -20 = 0
-3n = 0 + -3n
-3n = -3n

Add '3n' to each side of the equation.
-3n + 3n = -3n + 3n

Combine like terms: -3n + 3n = 0
0 = -3n + 3n

Combine like terms: -3n + 3n = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.