2(2n-5)=(7n+1)+5

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Solution for 2(2n-5)=(7n+1)+5 equation: 


Simplifying
2(2n + -5) = (7n + 1) + 5

Reorder the terms:
2(-5 + 2n) = (7n + 1) + 5
(-5 * 2 + 2n * 2) = (7n + 1) + 5
(-10 + 4n) = (7n + 1) + 5

Reorder the terms:
-10 + 4n = (1 + 7n) + 5

Remove parenthesis around (1 + 7n)
-10 + 4n = 1 + 7n + 5

Reorder the terms:
-10 + 4n = 1 + 5 + 7n

Combine like terms: 1 + 5 = 6
-10 + 4n = 6 + 7n

Solving
-10 + 4n = 6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-10 + 4n + -7n = 6 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-10 + -3n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
-10 + -3n = 6 + 0
-10 + -3n = 6

Add '10' to each side of the equation.
-10 + 10 + -3n = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -3n = 6 + 10
-3n = 6 + 10

Combine like terms: 6 + 10 = 16
-3n = 16

Divide each side by '-3'.
n = -5.333333333

Simplifying
n = -5.333333333

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