6(2n-5)=4n+2

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Solution for 6(2n-5)=4n+2 equation:


Simplifying
6(2n + -5) = 4n + 2

Reorder the terms:
6(-5 + 2n) = 4n + 2
(-5 * 6 + 2n * 6) = 4n + 2
(-30 + 12n) = 4n + 2

Reorder the terms:
-30 + 12n = 2 + 4n

Solving
-30 + 12n = 2 + 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.
-30 + 12n + -4n = 2 + 4n + -4n

Combine like terms: 12n + -4n = 8n
-30 + 8n = 2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-30 + 8n = 2 + 0
-30 + 8n = 2

Add '30' to each side of the equation.
-30 + 30 + 8n = 2 + 30

Combine like terms: -30 + 30 = 0
0 + 8n = 2 + 30
8n = 2 + 30

Combine like terms: 2 + 30 = 32
8n = 32

Divide each side by '8'.
n = 4

Simplifying
n = 4

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