4(n+9)+n=-36-(n+22)

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Solution for 4(n+9)+n=-36-(n+22) equation: 


Simplifying
4(n + 9) + n = -36 + -1(n + 22)

Reorder the terms:
4(9 + n) + n = -36 + -1(n + 22)
(9 * 4 + n * 4) + n = -36 + -1(n + 22)
(36 + 4n) + n = -36 + -1(n + 22)

Combine like terms: 4n + n = 5n
36 + 5n = -36 + -1(n + 22)

Reorder the terms:
36 + 5n = -36 + -1(22 + n)
36 + 5n = -36 + (22 * -1 + n * -1)
36 + 5n = -36 + (-22 + -1n)

Combine like terms: -36 + -22 = -58
36 + 5n = -58 + -1n

Solving
36 + 5n = -58 + -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.
36 + 5n + n = -58 + -1n + n

Combine like terms: 5n + n = 6n
36 + 6n = -58 + -1n + n

Combine like terms: -1n + n = 0
36 + 6n = -58 + 0
36 + 6n = -58

Add '-36' to each side of the equation.
36 + -36 + 6n = -58 + -36

Combine like terms: 36 + -36 = 0
0 + 6n = -58 + -36
6n = -58 + -36

Combine like terms: -58 + -36 = -94
6n = -94

Divide each side by '6'.
n = -15.66666667

Simplifying
n = -15.66666667

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