5n-2=7n-16

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Solution for 5n-2=7n-16 equation:


Simplifying
5n + -2 = 7n + -16

Reorder the terms:
-2 + 5n = 7n + -16

Reorder the terms:
-2 + 5n = -16 + 7n

Solving
-2 + 5n = -16 + 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.
-2 + 5n + -7n = -16 + 7n + -7n

Combine like terms: 5n + -7n = -2n
-2 + -2n = -16 + 7n + -7n

Combine like terms: 7n + -7n = 0
-2 + -2n = -16 + 0
-2 + -2n = -16

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

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

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

Divide each side by '-2'.
n = 7

Simplifying
n = 7

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