4(n-5)=n-2

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Solution for 4(n-5)=n-2 equation:


Simplifying
4(n + -5) = n + -2

Reorder the terms:
4(-5 + n) = n + -2
(-5 * 4 + n * 4) = n + -2
(-20 + 4n) = n + -2

Reorder the terms:
-20 + 4n = -2 + n

Solving
-20 + 4n = -2 + 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.
-20 + 4n + -1n = -2 + n + -1n

Combine like terms: 4n + -1n = 3n
-20 + 3n = -2 + n + -1n

Combine like terms: n + -1n = 0
-20 + 3n = -2 + 0
-20 + 3n = -2

Add '20' to each side of the equation.
-20 + 20 + 3n = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 3n = -2 + 20
3n = -2 + 20

Combine like terms: -2 + 20 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6

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