5(2n-1)=(7n+6)+5

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Solution for 5(2n-1)=(7n+6)+5 equation:


Simplifying
5(2n + -1) = (7n + 6) + 5

Reorder the terms:
5(-1 + 2n) = (7n + 6) + 5
(-1 * 5 + 2n * 5) = (7n + 6) + 5
(-5 + 10n) = (7n + 6) + 5

Reorder the terms:
-5 + 10n = (6 + 7n) + 5

Remove parenthesis around (6 + 7n)
-5 + 10n = 6 + 7n + 5

Reorder the terms:
-5 + 10n = 6 + 5 + 7n

Combine like terms: 6 + 5 = 11
-5 + 10n = 11 + 7n

Solving
-5 + 10n = 11 + 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.
-5 + 10n + -7n = 11 + 7n + -7n

Combine like terms: 10n + -7n = 3n
-5 + 3n = 11 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + 3n = 11 + 0
-5 + 3n = 11

Add '5' to each side of the equation.
-5 + 5 + 3n = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 11 + 5
3n = 11 + 5

Combine like terms: 11 + 5 = 16
3n = 16

Divide each side by '3'.
n = 5.333333333

Simplifying
n = 5.333333333

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