7n+11=3n-17

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Solution for 7n+11=3n-17 equation:


Simplifying
7n + 11 = 3n + -17

Reorder the terms:
11 + 7n = 3n + -17

Reorder the terms:
11 + 7n = -17 + 3n

Solving
11 + 7n = -17 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
11 + 7n + -3n = -17 + 3n + -3n

Combine like terms: 7n + -3n = 4n
11 + 4n = -17 + 3n + -3n

Combine like terms: 3n + -3n = 0
11 + 4n = -17 + 0
11 + 4n = -17

Add '-11' to each side of the equation.
11 + -11 + 4n = -17 + -11

Combine like terms: 11 + -11 = 0
0 + 4n = -17 + -11
4n = -17 + -11

Combine like terms: -17 + -11 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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