9-(n-2)=4(n+14)

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Solution for 9-(n-2)=4(n+14) equation: 


Simplifying
9 + -1(n + -2) = 4(n + 14)

Reorder the terms:
9 + -1(-2 + n) = 4(n + 14)
9 + (-2 * -1 + n * -1) = 4(n + 14)
9 + (2 + -1n) = 4(n + 14)

Combine like terms: 9 + 2 = 11
11 + -1n = 4(n + 14)

Reorder the terms:
11 + -1n = 4(14 + n)
11 + -1n = (14 * 4 + n * 4)
11 + -1n = (56 + 4n)

Solving
11 + -1n = 56 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
11 + -1n + -4n = 56 + 4n + -4n

Combine like terms: -1n + -4n = -5n
11 + -5n = 56 + 4n + -4n

Combine like terms: 4n + -4n = 0
11 + -5n = 56 + 0
11 + -5n = 56

Add '-11' to each side of the equation.
11 + -11 + -5n = 56 + -11

Combine like terms: 11 + -11 = 0
0 + -5n = 56 + -11
-5n = 56 + -11

Combine like terms: 56 + -11 = 45
-5n = 45

Divide each side by '-5'.
n = -9

Simplifying
n = -9

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