-2(5n+8)+3n=-4n-34

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Solution for -2(5n+8)+3n=-4n-34 equation: 


Simplifying
-2(5n + 8) + 3n = -4n + -34

Reorder the terms:
-2(8 + 5n) + 3n = -4n + -34
(8 * -2 + 5n * -2) + 3n = -4n + -34
(-16 + -10n) + 3n = -4n + -34

Combine like terms: -10n + 3n = -7n
-16 + -7n = -4n + -34

Reorder the terms:
-16 + -7n = -34 + -4n

Solving
-16 + -7n = -34 + -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 + -7n + 4n = -34 + -4n + 4n

Combine like terms: -7n + 4n = -3n
-16 + -3n = -34 + -4n + 4n

Combine like terms: -4n + 4n = 0
-16 + -3n = -34 + 0
-16 + -3n = -34

Add '16' to each side of the equation.
-16 + 16 + -3n = -34 + 16

Combine like terms: -16 + 16 = 0
0 + -3n = -34 + 16
-3n = -34 + 16

Combine like terms: -34 + 16 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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