21=2n-3(4-3n)

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Solution for 21=2n-3(4-3n) equation:


Simplifying
21 = 2n + -3(4 + -3n)
21 = 2n + (4 * -3 + -3n * -3)
21 = 2n + (-12 + 9n)

Reorder the terms:
21 = -12 + 2n + 9n

Combine like terms: 2n + 9n = 11n
21 = -12 + 11n

Solving
21 = -12 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
21 + -11n = -12 + 11n + -11n

Combine like terms: 11n + -11n = 0
21 + -11n = -12 + 0
21 + -11n = -12

Add '-21' to each side of the equation.
21 + -21 + -11n = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -11n = -12 + -21
-11n = -12 + -21

Combine like terms: -12 + -21 = -33
-11n = -33

Divide each side by '-11'.
n = 3

Simplifying
n = 3

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