4-5n=-3(n-1)-19

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Solution for 4-5n=-3(n-1)-19 equation: 


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

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

Reorder the terms:
4 + -5n = 3 + -19 + -3n

Combine like terms: 3 + -19 = -16
4 + -5n = -16 + -3n

Solving
4 + -5n = -16 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
4 + -5n + 3n = -16 + -3n + 3n

Combine like terms: -5n + 3n = -2n
4 + -2n = -16 + -3n + 3n

Combine like terms: -3n + 3n = 0
4 + -2n = -16 + 0
4 + -2n = -16

Add '-4' to each side of the equation.
4 + -4 + -2n = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -2n = -16 + -4
-2n = -16 + -4

Combine like terms: -16 + -4 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10

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