2(2n-5)=(9n+2)+8

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Solution for 2(2n-5)=(9n+2)+8 equation: 


Simplifying
2(2n + -5) = (9n + 2) + 8

Reorder the terms:
2(-5 + 2n) = (9n + 2) + 8
(-5 * 2 + 2n * 2) = (9n + 2) + 8
(-10 + 4n) = (9n + 2) + 8

Reorder the terms:
-10 + 4n = (2 + 9n) + 8

Remove parenthesis around (2 + 9n)
-10 + 4n = 2 + 9n + 8

Reorder the terms:
-10 + 4n = 2 + 8 + 9n

Combine like terms: 2 + 8 = 10
-10 + 4n = 10 + 9n

Solving
-10 + 4n = 10 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-10 + 4n + -9n = 10 + 9n + -9n

Combine like terms: 4n + -9n = -5n
-10 + -5n = 10 + 9n + -9n

Combine like terms: 9n + -9n = 0
-10 + -5n = 10 + 0
-10 + -5n = 10

Add '10' to each side of the equation.
-10 + 10 + -5n = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -5n = 10 + 10
-5n = 10 + 10

Combine like terms: 10 + 10 = 20
-5n = 20

Divide each side by '-5'.
n = -4

Simplifying
n = -4

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