2(1+2n)+3(n+2)=6n-3n

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Solution for 2(1+2n)+3(n+2)=6n-3n equation: 


Simplifying
2(1 + 2n) + 3(n + 2) = 6n + -3n
(1 * 2 + 2n * 2) + 3(n + 2) = 6n + -3n
(2 + 4n) + 3(n + 2) = 6n + -3n

Reorder the terms:
2 + 4n + 3(2 + n) = 6n + -3n
2 + 4n + (2 * 3 + n * 3) = 6n + -3n
2 + 4n + (6 + 3n) = 6n + -3n

Reorder the terms:
2 + 6 + 4n + 3n = 6n + -3n

Combine like terms: 2 + 6 = 8
8 + 4n + 3n = 6n + -3n

Combine like terms: 4n + 3n = 7n
8 + 7n = 6n + -3n

Combine like terms: 6n + -3n = 3n
8 + 7n = 3n

Solving
8 + 7n = 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.
8 + 7n + -3n = 3n + -3n

Combine like terms: 7n + -3n = 4n
8 + 4n = 3n + -3n

Combine like terms: 3n + -3n = 0
8 + 4n = 0

Add '-8' to each side of the equation.
8 + -8 + 4n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4n = 0 + -8
4n = 0 + -8

Combine like terms: 0 + -8 = -8
4n = -8

Divide each side by '4'.
n = -2

Simplifying
n = -2

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