Answer:
Step-by-step explanation:
Simplifying
5n + -3 = 9 + -1n
Reorder the terms:
-3 + 5n = 9 + -1n
Solving
-3 + 5n = 9 + -1n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add 'n' to each side of the equation.
-3 + 5n + n = 9 + -1n + n
Combine like terms: 5n + n = 6n
-3 + 6n = 9 + -1n + n
Combine like terms: -1n + n = 0
-3 + 6n = 9 + 0
-3 + 6n = 9
Add '3' to each side of the equation.
-3 + 3 + 6n = 9 + 3
Combine like terms: -3 + 3 = 0
0 + 6n = 9 + 3
6n = 9 + 3
Combine like terms: 9 + 3 = 12
6n = 12
Divide each side by '6'.
n = 2
Simplifying
n = 2
Answer: n-3
Step-by-step explanation:
Simplifying
5n + 3 = n + -9
Reorder the terms:
3 + 5n = n + -9
Reorder the terms:
3 + 5n = -9 + n
Solving
3 + 5n = -9 + n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1n' to each side of the equation.
3 + 5n + -1n = -9 + n + -1n
Combine like terms: 5n + -1n = 4n
3 + 4n = -9 + n + -1n
Combine like terms: n + -1n = 0
3 + 4n = -9 + 0
3 + 4n = -9
Add '-3' to each side of the equation.
3 + -3 + 4n = -9 + -3
Combine like terms: 3 + -3 = 0
0 + 4n = -9 + -3
4n = -9 + -3
Combine like terms: -9 + -3 = -12
4n = -12
Divide each side by '4'.
n = -3
Simplifying
n = -3
