(n-3)(c+3)=nc

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Solution for (n-3)(c+3)=nc equation:


Simplifying
(n + -3)(c + 3) = nc

Reorder the terms:
(-3 + n)(c + 3) = nc

Reorder the terms:
(-3 + n)(3 + c) = nc

Multiply (-3 + n) * (3 + c)
(-3(3 + c) + n(3 + c)) = nc
((3 * -3 + c * -3) + n(3 + c)) = nc
((-9 + -3c) + n(3 + c)) = nc
(-9 + -3c + (3 * n + c * n)) = nc

Reorder the terms:
(-9 + -3c + (cn + 3n)) = nc
(-9 + -3c + (cn + 3n)) = nc
(-9 + -3c + cn + 3n) = nc

Add '-1cn' to each side of the equation.
-9 + -3c + cn + -1cn + 3n = cn + -1cn

Combine like terms: cn + -1cn = 0
-9 + -3c + 0 + 3n = cn + -1cn
-9 + -3c + 3n = cn + -1cn

Combine like terms: cn + -1cn = 0
-9 + -3c + 3n = 0

Solving
-9 + -3c + 3n = 0

Solving for variable 'c'.

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

Add '9' to each side of the equation.
-9 + -3c + 9 + 3n = 0 + 9

Reorder the terms:
-9 + 9 + -3c + 3n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -3c + 3n = 0 + 9
-3c + 3n = 0 + 9

Combine like terms: 0 + 9 = 9
-3c + 3n = 9

Add '-3n' to each side of the equation.
-3c + 3n + -3n = 9 + -3n

Combine like terms: 3n + -3n = 0
-3c + 0 = 9 + -3n
-3c = 9 + -3n

Divide each side by '-3'.
c = -3 + n

Simplifying
c = -3 + n

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