7(3n+2)=6(7n+3)+3

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Solution for 7(3n+2)=6(7n+3)+3 equation: 


Simplifying
7(3n + 2) = 6(7n + 3) + 3

Reorder the terms:
7(2 + 3n) = 6(7n + 3) + 3
(2 * 7 + 3n * 7) = 6(7n + 3) + 3
(14 + 21n) = 6(7n + 3) + 3

Reorder the terms:
14 + 21n = 6(3 + 7n) + 3
14 + 21n = (3 * 6 + 7n * 6) + 3
14 + 21n = (18 + 42n) + 3

Reorder the terms:
14 + 21n = 18 + 3 + 42n

Combine like terms: 18 + 3 = 21
14 + 21n = 21 + 42n

Solving
14 + 21n = 21 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
14 + 21n + -42n = 21 + 42n + -42n

Combine like terms: 21n + -42n = -21n
14 + -21n = 21 + 42n + -42n

Combine like terms: 42n + -42n = 0
14 + -21n = 21 + 0
14 + -21n = 21

Add '-14' to each side of the equation.
14 + -14 + -21n = 21 + -14

Combine like terms: 14 + -14 = 0
0 + -21n = 21 + -14
-21n = 21 + -14

Combine like terms: 21 + -14 = 7
-21n = 7

Divide each side by '-21'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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