n+4=3n-6

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Solution for n+4=3n-6 equation:


Simplifying
n + 4 = 3n + -6

Reorder the terms:
4 + n = 3n + -6

Reorder the terms:
4 + n = -6 + 3n

Solving
4 + n = -6 + 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.
4 + n + -3n = -6 + 3n + -3n

Combine like terms: n + -3n = -2n
4 + -2n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + -2n = -6 + 0
4 + -2n = -6

Add '-4' to each side of the equation.
4 + -4 + -2n = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2n = -6 + -4
-2n = -6 + -4

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

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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