36+7n=6(5n+6)+3n

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Solution for 36+7n=6(5n+6)+3n equation:


Simplifying
36 + 7n = 6(5n + 6) + 3n

Reorder the terms:
36 + 7n = 6(6 + 5n) + 3n
36 + 7n = (6 * 6 + 5n * 6) + 3n
36 + 7n = (36 + 30n) + 3n

Combine like terms: 30n + 3n = 33n
36 + 7n = 36 + 33n

Add '-36' to each side of the equation.
36 + -36 + 7n = 36 + -36 + 33n

Combine like terms: 36 + -36 = 0
0 + 7n = 36 + -36 + 33n
7n = 36 + -36 + 33n

Combine like terms: 36 + -36 = 0
7n = 0 + 33n
7n = 33n

Solving
7n = 33n

Solving for variable 'n'.

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

Add '-33n' to each side of the equation.
7n + -33n = 33n + -33n

Combine like terms: 7n + -33n = -26n
-26n = 33n + -33n

Combine like terms: 33n + -33n = 0
-26n = 0

Divide each side by '-26'.
n = 0

Simplifying
n = 0

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