5n-10-4n-12=2n+2-20

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Solution for 5n-10-4n-12=2n+2-20 equation: 


Simplifying
5n + -10 + -4n + -12 = 2n + 2 + -20

Reorder the terms:
-10 + -12 + 5n + -4n = 2n + 2 + -20

Combine like terms: -10 + -12 = -22
-22 + 5n + -4n = 2n + 2 + -20

Combine like terms: 5n + -4n = 1n
-22 + 1n = 2n + 2 + -20

Reorder the terms:
-22 + 1n = 2 + -20 + 2n

Combine like terms: 2 + -20 = -18
-22 + 1n = -18 + 2n

Solving
-22 + 1n = -18 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-22 + 1n + -2n = -18 + 2n + -2n

Combine like terms: 1n + -2n = -1n
-22 + -1n = -18 + 2n + -2n

Combine like terms: 2n + -2n = 0
-22 + -1n = -18 + 0
-22 + -1n = -18

Add '22' to each side of the equation.
-22 + 22 + -1n = -18 + 22

Combine like terms: -22 + 22 = 0
0 + -1n = -18 + 22
-1n = -18 + 22

Combine like terms: -18 + 22 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4

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