6(2n-1)=(4n+2)+3

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Solution for 6(2n-1)=(4n+2)+3 equation:


Simplifying
6(2n + -1) = (4n + 2) + 3

Reorder the terms:
6(-1 + 2n) = (4n + 2) + 3
(-1 * 6 + 2n * 6) = (4n + 2) + 3
(-6 + 12n) = (4n + 2) + 3

Reorder the terms:
-6 + 12n = (2 + 4n) + 3

Remove parenthesis around (2 + 4n)
-6 + 12n = 2 + 4n + 3

Reorder the terms:
-6 + 12n = 2 + 3 + 4n

Combine like terms: 2 + 3 = 5
-6 + 12n = 5 + 4n

Solving
-6 + 12n = 5 + 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.
-6 + 12n + -4n = 5 + 4n + -4n

Combine like terms: 12n + -4n = 8n
-6 + 8n = 5 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + 8n = 5 + 0
-6 + 8n = 5

Add '6' to each side of the equation.
-6 + 6 + 8n = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 8n = 5 + 6
8n = 5 + 6

Combine like terms: 5 + 6 = 11
8n = 11

Divide each side by '8'.
n = 1.375

Simplifying
n = 1.375

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