6+(2n+7)=2-3n

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Solution for 6+(2n+7)=2-3n equation:


Simplifying
6 + (2n + 7) = 2 + -3n

Reorder the terms:
6 + (7 + 2n) = 2 + -3n

Remove parenthesis around (7 + 2n)
6 + 7 + 2n = 2 + -3n

Combine like terms: 6 + 7 = 13
13 + 2n = 2 + -3n

Solving
13 + 2n = 2 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
13 + 2n + 3n = 2 + -3n + 3n

Combine like terms: 2n + 3n = 5n
13 + 5n = 2 + -3n + 3n

Combine like terms: -3n + 3n = 0
13 + 5n = 2 + 0
13 + 5n = 2

Add '-13' to each side of the equation.
13 + -13 + 5n = 2 + -13

Combine like terms: 13 + -13 = 0
0 + 5n = 2 + -13
5n = 2 + -13

Combine like terms: 2 + -13 = -11
5n = -11

Divide each side by '5'.
n = -2.2

Simplifying
n = -2.2

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