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

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


Simplifying
36 + -5n = 5n + 6(6 + 7n)
36 + -5n = 5n + (6 * 6 + 7n * 6)
36 + -5n = 5n + (36 + 42n)

Reorder the terms:
36 + -5n = 36 + 5n + 42n

Combine like terms: 5n + 42n = 47n
36 + -5n = 36 + 47n

Add '-36' to each side of the equation.
36 + -36 + -5n = 36 + -36 + 47n

Combine like terms: 36 + -36 = 0
0 + -5n = 36 + -36 + 47n
-5n = 36 + -36 + 47n

Combine like terms: 36 + -36 = 0
-5n = 0 + 47n
-5n = 47n

Solving
-5n = 47n

Solving for variable 'n'.

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

Add '-47n' to each side of the equation.
-5n + -47n = 47n + -47n

Combine like terms: -5n + -47n = -52n
-52n = 47n + -47n

Combine like terms: 47n + -47n = 0
-52n = 0

Divide each side by '-52'.
n = 0

Simplifying
n = 0

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