36+6n=3(7n-1)-6

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Solution for 36+6n=3(7n-1)-6 equation: 


Simplifying
36 + 6n = 3(7n + -1) + -6

Reorder the terms:
36 + 6n = 3(-1 + 7n) + -6
36 + 6n = (-1 * 3 + 7n * 3) + -6
36 + 6n = (-3 + 21n) + -6

Reorder the terms:
36 + 6n = -3 + -6 + 21n

Combine like terms: -3 + -6 = -9
36 + 6n = -9 + 21n

Solving
36 + 6n = -9 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
36 + 6n + -21n = -9 + 21n + -21n

Combine like terms: 6n + -21n = -15n
36 + -15n = -9 + 21n + -21n

Combine like terms: 21n + -21n = 0
36 + -15n = -9 + 0
36 + -15n = -9

Add '-36' to each side of the equation.
36 + -36 + -15n = -9 + -36

Combine like terms: 36 + -36 = 0
0 + -15n = -9 + -36
-15n = -9 + -36

Combine like terms: -9 + -36 = -45
-15n = -45

Divide each side by '-15'.
n = 3

Simplifying
n = 3

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