2n-7=8-3n

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Solution for 2n-7=8-3n equation:


Simplifying
2n + -7 = 8 + -3n

Reorder the terms:
-7 + 2n = 8 + -3n

Solving
-7 + 2n = 8 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-7 + 2n + 3n = 8 + -3n + 3n

Combine like terms: 2n + 3n = 5n
-7 + 5n = 8 + -3n + 3n

Combine like terms: -3n + 3n = 0
-7 + 5n = 8 + 0
-7 + 5n = 8

Add '7' to each side of the equation.
-7 + 7 + 5n = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5n = 8 + 7
5n = 8 + 7

Combine like terms: 8 + 7 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3

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