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

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


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

Reorder the terms:
7(-4 + 2n) = (7n + 7) + 6
(-4 * 7 + 2n * 7) = (7n + 7) + 6
(-28 + 14n) = (7n + 7) + 6

Reorder the terms:
-28 + 14n = (7 + 7n) + 6

Remove parenthesis around (7 + 7n)
-28 + 14n = 7 + 7n + 6

Reorder the terms:
-28 + 14n = 7 + 6 + 7n

Combine like terms: 7 + 6 = 13
-28 + 14n = 13 + 7n

Solving
-28 + 14n = 13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-28 + 14n + -7n = 13 + 7n + -7n

Combine like terms: 14n + -7n = 7n
-28 + 7n = 13 + 7n + -7n

Combine like terms: 7n + -7n = 0
-28 + 7n = 13 + 0
-28 + 7n = 13

Add '28' to each side of the equation.
-28 + 28 + 7n = 13 + 28

Combine like terms: -28 + 28 = 0
0 + 7n = 13 + 28
7n = 13 + 28

Combine like terms: 13 + 28 = 41
7n = 41

Divide each side by '7'.
n = 5.857142857

Simplifying
n = 5.857142857

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