3(2n+3)=7(5+7)+9

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Solution for 3(2n+3)=7(5+7)+9 equation: 


Simplifying
3(2n + 3) = 7(5 + 7) + 9

Reorder the terms:
3(3 + 2n) = 7(5 + 7) + 9
(3 * 3 + 2n * 3) = 7(5 + 7) + 9
(9 + 6n) = 7(5 + 7) + 9

Combine like terms: 5 + 7 = 12
9 + 6n = 7(12) + 9

Multiply 7 * 12
9 + 6n = 84 + 9

Combine like terms: 84 + 9 = 93
9 + 6n = 93

Solving
9 + 6n = 93

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 = 93 + -9

Combine like terms: 9 + -9 = 0
0 + 6n = 93 + -9
6n = 93 + -9

Combine like terms: 93 + -9 = 84
6n = 84

Divide each side by '6'.
n = 14

Simplifying
n = 14

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