7n-8=2n+17

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Solution for 7n-8=2n+17 equation:


Simplifying
7n + -8 = 2n + 17

Reorder the terms:
-8 + 7n = 2n + 17

Reorder the terms:
-8 + 7n = 17 + 2n

Solving
-8 + 7n = 17 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-8 + 7n + -2n = 17 + 2n + -2n

Combine like terms: 7n + -2n = 5n
-8 + 5n = 17 + 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 5n = 17 + 0
-8 + 5n = 17

Add '8' to each side of the equation.
-8 + 8 + 5n = 17 + 8

Combine like terms: -8 + 8 = 0
0 + 5n = 17 + 8
5n = 17 + 8

Combine like terms: 17 + 8 = 25
5n = 25

Divide each side by '5'.
n = 5

Simplifying
n = 5

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