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

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


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

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

Combine like terms: 5 + 2 = 7
7 + 4n = 2n

Solving
7 + 4n = 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.
7 + 4n + -2n = 2n + -2n

Combine like terms: 4n + -2n = 2n
7 + 2n = 2n + -2n

Combine like terms: 2n + -2n = 0
7 + 2n = 0

Add '-7' to each side of the equation.
7 + -7 + 2n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = 0 + -7
2n = 0 + -7

Combine like terms: 0 + -7 = -7
2n = -7

Divide each side by '2'.
n = -3.5

Simplifying
n = -3.5

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