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

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


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

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

Reorder the terms:
-20 + 8n = (4 + 4n) + 2

Remove parenthesis around (4 + 4n)
-20 + 8n = 4 + 4n + 2

Reorder the terms:
-20 + 8n = 4 + 2 + 4n

Combine like terms: 4 + 2 = 6
-20 + 8n = 6 + 4n

Solving
-20 + 8n = 6 + 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.
-20 + 8n + -4n = 6 + 4n + -4n

Combine like terms: 8n + -4n = 4n
-20 + 4n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
-20 + 4n = 6 + 0
-20 + 4n = 6

Add '20' to each side of the equation.
-20 + 20 + 4n = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 4n = 6 + 20
4n = 6 + 20

Combine like terms: 6 + 20 = 26
4n = 26

Divide each side by '4'.
n = 6.5

Simplifying
n = 6.5

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