n+1=3n-11

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Solution for n+1=3n-11 equation:


Simplifying
n + 1 = 3n + -11

Reorder the terms:
1 + n = 3n + -11

Reorder the terms:
1 + n = -11 + 3n

Solving
1 + n = -11 + 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.
1 + n + -3n = -11 + 3n + -3n

Combine like terms: n + -3n = -2n
1 + -2n = -11 + 3n + -3n

Combine like terms: 3n + -3n = 0
1 + -2n = -11 + 0
1 + -2n = -11

Add '-1' to each side of the equation.
1 + -1 + -2n = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -11 + -1
-2n = -11 + -1

Combine like terms: -11 + -1 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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