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

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


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

Reorder the terms:
3(1 + 2n) = 2n + 7 + 3n
(1 * 3 + 2n * 3) = 2n + 7 + 3n
(3 + 6n) = 2n + 7 + 3n

Reorder the terms:
3 + 6n = 7 + 2n + 3n

Combine like terms: 2n + 3n = 5n
3 + 6n = 7 + 5n

Solving
3 + 6n = 7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
3 + 6n + -5n = 7 + 5n + -5n

Combine like terms: 6n + -5n = 1n
3 + 1n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 1n = 7 + 0
3 + 1n = 7

Add '-3' to each side of the equation.
3 + -3 + 1n = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 1n = 7 + -3
1n = 7 + -3

Combine like terms: 7 + -3 = 4
1n = 4

Divide each side by '1'.
n = 4

Simplifying
n = 4

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