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

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


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

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

Reorder the terms:
9 + 6n = 7(2 + 5n) + 7
9 + 6n = (2 * 7 + 5n * 7) + 7
9 + 6n = (14 + 35n) + 7

Reorder the terms:
9 + 6n = 14 + 7 + 35n

Combine like terms: 14 + 7 = 21
9 + 6n = 21 + 35n

Solving
9 + 6n = 21 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
9 + 6n + -35n = 21 + 35n + -35n

Combine like terms: 6n + -35n = -29n
9 + -29n = 21 + 35n + -35n

Combine like terms: 35n + -35n = 0
9 + -29n = 21 + 0
9 + -29n = 21

Add '-9' to each side of the equation.
9 + -9 + -29n = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -29n = 21 + -9
-29n = 21 + -9

Combine like terms: 21 + -9 = 12
-29n = 12

Divide each side by '-29'.
n = -0.4137931034

Simplifying
n = -0.4137931034

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