4(2n-4)=(2n+6)+7

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Solution for 4(2n-4)=(2n+6)+7 equation:


Simplifying
4(2n + -4) = (2n + 6) + 7

Reorder the terms:
4(-4 + 2n) = (2n + 6) + 7
(-4 * 4 + 2n * 4) = (2n + 6) + 7
(-16 + 8n) = (2n + 6) + 7

Reorder the terms:
-16 + 8n = (6 + 2n) + 7

Remove parenthesis around (6 + 2n)
-16 + 8n = 6 + 2n + 7

Reorder the terms:
-16 + 8n = 6 + 7 + 2n

Combine like terms: 6 + 7 = 13
-16 + 8n = 13 + 2n

Solving
-16 + 8n = 13 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-16 + 8n + -2n = 13 + 2n + -2n

Combine like terms: 8n + -2n = 6n
-16 + 6n = 13 + 2n + -2n

Combine like terms: 2n + -2n = 0
-16 + 6n = 13 + 0
-16 + 6n = 13

Add '16' to each side of the equation.
-16 + 16 + 6n = 13 + 16

Combine like terms: -16 + 16 = 0
0 + 6n = 13 + 16
6n = 13 + 16

Combine like terms: 13 + 16 = 29
6n = 29

Divide each side by '6'.
n = 4.833333333

Simplifying
n = 4.833333333

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