3(2n+3)=51

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Solution for 3(2n+3)=51 equation: 


Simplifying
3(2n + 3) = 51

Reorder the terms:
3(3 + 2n) = 51
(3 * 3 + 2n * 3) = 51
(9 + 6n) = 51

Solving
9 + 6n = 51

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 6n = 51 + -9

Combine like terms: 9 + -9 = 0
0 + 6n = 51 + -9
6n = 51 + -9

Combine like terms: 51 + -9 = 42
6n = 42

Divide each side by '6'.
n = 7

Simplifying
n = 7

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