7(2n-1)=(7n+3)+6

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Solution for 7(2n-1)=(7n+3)+6 equation:


Simplifying
7(2n + -1) = (7n + 3) + 6

Reorder the terms:
7(-1 + 2n) = (7n + 3) + 6
(-1 * 7 + 2n * 7) = (7n + 3) + 6
(-7 + 14n) = (7n + 3) + 6

Reorder the terms:
-7 + 14n = (3 + 7n) + 6

Remove parenthesis around (3 + 7n)
-7 + 14n = 3 + 7n + 6

Reorder the terms:
-7 + 14n = 3 + 6 + 7n

Combine like terms: 3 + 6 = 9
-7 + 14n = 9 + 7n

Solving
-7 + 14n = 9 + 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.
-7 + 14n + -7n = 9 + 7n + -7n

Combine like terms: 14n + -7n = 7n
-7 + 7n = 9 + 7n + -7n

Combine like terms: 7n + -7n = 0
-7 + 7n = 9 + 0
-7 + 7n = 9

Add '7' to each side of the equation.
-7 + 7 + 7n = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 7n = 9 + 7
7n = 9 + 7

Combine like terms: 9 + 7 = 16
7n = 16

Divide each side by '7'.
n = 2.285714286

Simplifying
n = 2.285714286

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