2(3n+4)=30-4(-2n-5)

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Solution for 2(3n+4)=30-4(-2n-5) equation:


Simplifying
2(3n + 4) = 30 + -4(-2n + -5)

Reorder the terms:
2(4 + 3n) = 30 + -4(-2n + -5)
(4 * 2 + 3n * 2) = 30 + -4(-2n + -5)
(8 + 6n) = 30 + -4(-2n + -5)

Reorder the terms:
8 + 6n = 30 + -4(-5 + -2n)
8 + 6n = 30 + (-5 * -4 + -2n * -4)
8 + 6n = 30 + (20 + 8n)

Combine like terms: 30 + 20 = 50
8 + 6n = 50 + 8n

Solving
8 + 6n = 50 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
8 + 6n + -8n = 50 + 8n + -8n

Combine like terms: 6n + -8n = -2n
8 + -2n = 50 + 8n + -8n

Combine like terms: 8n + -8n = 0
8 + -2n = 50 + 0
8 + -2n = 50

Add '-8' to each side of the equation.
8 + -8 + -2n = 50 + -8

Combine like terms: 8 + -8 = 0
0 + -2n = 50 + -8
-2n = 50 + -8

Combine like terms: 50 + -8 = 42
-2n = 42

Divide each side by '-2'.
n = -21

Simplifying
n = -21

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