(5n+16)=(6n-2)

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Solution for (5n+16)=(6n-2) equation:


Simplifying
(5n + 16) = (6n + -2)

Reorder the terms:
(16 + 5n) = (6n + -2)

Remove parenthesis around (16 + 5n)
16 + 5n = (6n + -2)

Reorder the terms:
16 + 5n = (-2 + 6n)

Remove parenthesis around (-2 + 6n)
16 + 5n = -2 + 6n

Solving
16 + 5n = -2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
16 + 5n + -6n = -2 + 6n + -6n

Combine like terms: 5n + -6n = -1n
16 + -1n = -2 + 6n + -6n

Combine like terms: 6n + -6n = 0
16 + -1n = -2 + 0
16 + -1n = -2

Add '-16' to each side of the equation.
16 + -16 + -1n = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -2 + -16
-1n = -2 + -16

Combine like terms: -2 + -16 = -18
-1n = -18

Divide each side by '-1'.
n = 18

Simplifying
n = 18

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