-19+8n=-3(-7n-5)-8

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Solution for -19+8n=-3(-7n-5)-8 equation: 


Simplifying
-19 + 8n = -3(-7n + -5) + -8

Reorder the terms:
-19 + 8n = -3(-5 + -7n) + -8
-19 + 8n = (-5 * -3 + -7n * -3) + -8
-19 + 8n = (15 + 21n) + -8

Reorder the terms:
-19 + 8n = 15 + -8 + 21n

Combine like terms: 15 + -8 = 7
-19 + 8n = 7 + 21n

Solving
-19 + 8n = 7 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
-19 + 8n + -21n = 7 + 21n + -21n

Combine like terms: 8n + -21n = -13n
-19 + -13n = 7 + 21n + -21n

Combine like terms: 21n + -21n = 0
-19 + -13n = 7 + 0
-19 + -13n = 7

Add '19' to each side of the equation.
-19 + 19 + -13n = 7 + 19

Combine like terms: -19 + 19 = 0
0 + -13n = 7 + 19
-13n = 7 + 19

Combine like terms: 7 + 19 = 26
-13n = 26

Divide each side by '-13'.
n = -2

Simplifying
n = -2

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