4n+2=3n-11

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Solution for 4n+2=3n-11 equation:


Simplifying
4n + 2 = 3n + -11

Reorder the terms:
2 + 4n = 3n + -11

Reorder the terms:
2 + 4n = -11 + 3n

Solving
2 + 4n = -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.
2 + 4n + -3n = -11 + 3n + -3n

Combine like terms: 4n + -3n = 1n
2 + 1n = -11 + 3n + -3n

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

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

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

Combine like terms: -11 + -2 = -13
1n = -13

Divide each side by '1'.
n = -13

Simplifying
n = -13

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