8n+7-2n-10=7+5n-8

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Solution for 8n+7-2n-10=7+5n-8 equation:


Simplifying
8n + 7 + -2n + -10 = 7 + 5n + -8

Reorder the terms:
7 + -10 + 8n + -2n = 7 + 5n + -8

Combine like terms: 7 + -10 = -3
-3 + 8n + -2n = 7 + 5n + -8

Combine like terms: 8n + -2n = 6n
-3 + 6n = 7 + 5n + -8

Reorder the terms:
-3 + 6n = 7 + -8 + 5n

Combine like terms: 7 + -8 = -1
-3 + 6n = -1 + 5n

Solving
-3 + 6n = -1 + 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.
-3 + 6n + -5n = -1 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-3 + 1n = -1 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + 1n = -1 + 0
-3 + 1n = -1

Add '3' to each side of the equation.
-3 + 3 + 1n = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 1n = -1 + 3
1n = -1 + 3

Combine like terms: -1 + 3 = 2
1n = 2

Divide each side by '1'.
n = 2

Simplifying
n = 2

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