5n-6=-11-7+3n+8

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Solution for 5n-6=-11-7+3n+8 equation:


Simplifying
5n + -6 = -11 + -7 + 3n + 8

Reorder the terms:
-6 + 5n = -11 + -7 + 3n + 8

Reorder the terms:
-6 + 5n = -11 + -7 + 8 + 3n

Combine like terms: -11 + -7 = -18
-6 + 5n = -18 + 8 + 3n

Combine like terms: -18 + 8 = -10
-6 + 5n = -10 + 3n

Solving
-6 + 5n = -10 + 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.
-6 + 5n + -3n = -10 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-6 + 2n = -10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 2n = -10 + 0
-6 + 2n = -10

Add '6' to each side of the equation.
-6 + 6 + 2n = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = -10 + 6
2n = -10 + 6

Combine like terms: -10 + 6 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2

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