3n+6-4n+4=n+13

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Solution for 3n+6-4n+4=n+13 equation:


Simplifying
3n + 6 + -4n + 4 = n + 13

Reorder the terms:
6 + 4 + 3n + -4n = n + 13

Combine like terms: 6 + 4 = 10
10 + 3n + -4n = n + 13

Combine like terms: 3n + -4n = -1n
10 + -1n = n + 13

Reorder the terms:
10 + -1n = 13 + n

Solving
10 + -1n = 13 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
10 + -1n + -1n = 13 + n + -1n

Combine like terms: -1n + -1n = -2n
10 + -2n = 13 + n + -1n

Combine like terms: n + -1n = 0
10 + -2n = 13 + 0
10 + -2n = 13

Add '-10' to each side of the equation.
10 + -10 + -2n = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = 13 + -10
-2n = 13 + -10

Combine like terms: 13 + -10 = 3
-2n = 3

Divide each side by '-2'.
n = -1.5

Simplifying
n = -1.5

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