37+3n=6-(n+1)

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Solution for 37+3n=6-(n+1) equation:


Simplifying
37 + 3n = 6 + -1(n + 1)

Reorder the terms:
37 + 3n = 6 + -1(1 + n)
37 + 3n = 6 + (1 * -1 + n * -1)
37 + 3n = 6 + (-1 + -1n)

Combine like terms: 6 + -1 = 5
37 + 3n = 5 + -1n

Solving
37 + 3n = 5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
37 + 3n + n = 5 + -1n + n

Combine like terms: 3n + n = 4n
37 + 4n = 5 + -1n + n

Combine like terms: -1n + n = 0
37 + 4n = 5 + 0
37 + 4n = 5

Add '-37' to each side of the equation.
37 + -37 + 4n = 5 + -37

Combine like terms: 37 + -37 = 0
0 + 4n = 5 + -37
4n = 5 + -37

Combine like terms: 5 + -37 = -32
4n = -32

Divide each side by '4'.
n = -8

Simplifying
n = -8

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