5+7(6n+1)=12-3n

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Solution for 5+7(6n+1)=12-3n equation: 


Simplifying
5 + 7(6n + 1) = 12 + -3n

Reorder the terms:
5 + 7(1 + 6n) = 12 + -3n
5 + (1 * 7 + 6n * 7) = 12 + -3n
5 + (7 + 42n) = 12 + -3n

Combine like terms: 5 + 7 = 12
12 + 42n = 12 + -3n

Add '-12' to each side of the equation.
12 + -12 + 42n = 12 + -12 + -3n

Combine like terms: 12 + -12 = 0
0 + 42n = 12 + -12 + -3n
42n = 12 + -12 + -3n

Combine like terms: 12 + -12 = 0
42n = 0 + -3n
42n = -3n

Solving
42n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
42n + 3n = -3n + 3n

Combine like terms: 42n + 3n = 45n
45n = -3n + 3n

Combine like terms: -3n + 3n = 0
45n = 0

Divide each side by '45'.
n = 0

Simplifying
n = 0

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