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

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


Simplifying
7(2 + n) = 5(n + 6)
(2 * 7 + n * 7) = 5(n + 6)
(14 + 7n) = 5(n + 6)

Reorder the terms:
14 + 7n = 5(6 + n)
14 + 7n = (6 * 5 + n * 5)
14 + 7n = (30 + 5n)

Solving
14 + 7n = 30 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
14 + 7n + -5n = 30 + 5n + -5n

Combine like terms: 7n + -5n = 2n
14 + 2n = 30 + 5n + -5n

Combine like terms: 5n + -5n = 0
14 + 2n = 30 + 0
14 + 2n = 30

Add '-14' to each side of the equation.
14 + -14 + 2n = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 2n = 30 + -14
2n = 30 + -14

Combine like terms: 30 + -14 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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