2(2n+1)+3n-2=5n+7n

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Solution for 2(2n+1)+3n-2=5n+7n equation:


Simplifying
2(2n + 1) + 3n + -2 = 5n + 7n

Reorder the terms:
2(1 + 2n) + 3n + -2 = 5n + 7n
(1 * 2 + 2n * 2) + 3n + -2 = 5n + 7n
(2 + 4n) + 3n + -2 = 5n + 7n

Reorder the terms:
2 + -2 + 4n + 3n = 5n + 7n

Combine like terms: 2 + -2 = 0
0 + 4n + 3n = 5n + 7n
4n + 3n = 5n + 7n

Combine like terms: 4n + 3n = 7n
7n = 5n + 7n

Combine like terms: 5n + 7n = 12n
7n = 12n

Solving
7n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
7n + -12n = 12n + -12n

Combine like terms: 7n + -12n = -5n
-5n = 12n + -12n

Combine like terms: 12n + -12n = 0
-5n = 0

Divide each side by '-5'.
n = 0

Simplifying
n = 0

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