4(n+9)+n=66-(n+12)

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Solution for 4(n+9)+n=66-(n+12) equation:


Simplifying
4(n + 9) + n = 66 + -1(n + 12)

Reorder the terms:
4(9 + n) + n = 66 + -1(n + 12)
(9 * 4 + n * 4) + n = 66 + -1(n + 12)
(36 + 4n) + n = 66 + -1(n + 12)

Combine like terms: 4n + n = 5n
36 + 5n = 66 + -1(n + 12)

Reorder the terms:
36 + 5n = 66 + -1(12 + n)
36 + 5n = 66 + (12 * -1 + n * -1)
36 + 5n = 66 + (-12 + -1n)

Combine like terms: 66 + -12 = 54
36 + 5n = 54 + -1n

Solving
36 + 5n = 54 + -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 = 54 + -1n + n

Combine like terms: 5n + n = 6n
36 + 6n = 54 + -1n + n

Combine like terms: -1n + n = 0
36 + 6n = 54 + 0
36 + 6n = 54

Add '-36' to each side of the equation.
36 + -36 + 6n = 54 + -36

Combine like terms: 36 + -36 = 0
0 + 6n = 54 + -36
6n = 54 + -36

Combine like terms: 54 + -36 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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