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

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


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

Reorder the terms:
4(-1 + 2n) = (3n + 4) + 2
(-1 * 4 + 2n * 4) = (3n + 4) + 2
(-4 + 8n) = (3n + 4) + 2

Reorder the terms:
-4 + 8n = (4 + 3n) + 2

Remove parenthesis around (4 + 3n)
-4 + 8n = 4 + 3n + 2

Reorder the terms:
-4 + 8n = 4 + 2 + 3n

Combine like terms: 4 + 2 = 6
-4 + 8n = 6 + 3n

Solving
-4 + 8n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-4 + 8n + -3n = 6 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-4 + 5n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-4 + 5n = 6 + 0
-4 + 5n = 6

Add '4' to each side of the equation.
-4 + 4 + 5n = 6 + 4

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

Combine like terms: 6 + 4 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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