-3[4-(4n+5)]-19=4(4-n)

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Solution for -3[4-(4n+5)]-19=4(4-n) equation:


Simplifying
-3[4 + -1(4n + 5)] + -19 = 4(4 + -1n)

Reorder the terms:
-3[4 + -1(5 + 4n)] + -19 = 4(4 + -1n)
-3[4 + (5 * -1 + 4n * -1)] + -19 = 4(4 + -1n)
-3[4 + (-5 + -4n)] + -19 = 4(4 + -1n)

Combine like terms: 4 + -5 = -1
-3[-1 + -4n] + -19 = 4(4 + -1n)
[-1 * -3 + -4n * -3] + -19 = 4(4 + -1n)
[3 + 12n] + -19 = 4(4 + -1n)

Reorder the terms:
3 + -19 + 12n = 4(4 + -1n)

Combine like terms: 3 + -19 = -16
-16 + 12n = 4(4 + -1n)
-16 + 12n = (4 * 4 + -1n * 4)
-16 + 12n = (16 + -4n)

Solving
-16 + 12n = 16 + -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.
-16 + 12n + 4n = 16 + -4n + 4n

Combine like terms: 12n + 4n = 16n
-16 + 16n = 16 + -4n + 4n

Combine like terms: -4n + 4n = 0
-16 + 16n = 16 + 0
-16 + 16n = 16

Add '16' to each side of the equation.
-16 + 16 + 16n = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 16n = 16 + 16
16n = 16 + 16

Combine like terms: 16 + 16 = 32
16n = 32

Divide each side by '16'.
n = 2

Simplifying
n = 2

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