8n+10-2n=3n-2+5n

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Solution for 8n+10-2n=3n-2+5n equation:


Simplifying
8n + 10 + -2n = 3n + -2 + 5n

Reorder the terms:
10 + 8n + -2n = 3n + -2 + 5n

Combine like terms: 8n + -2n = 6n
10 + 6n = 3n + -2 + 5n

Reorder the terms:
10 + 6n = -2 + 3n + 5n

Combine like terms: 3n + 5n = 8n
10 + 6n = -2 + 8n

Solving
10 + 6n = -2 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
10 + 6n + -8n = -2 + 8n + -8n

Combine like terms: 6n + -8n = -2n
10 + -2n = -2 + 8n + -8n

Combine like terms: 8n + -8n = 0
10 + -2n = -2 + 0
10 + -2n = -2

Add '-10' to each side of the equation.
10 + -10 + -2n = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = -2 + -10
-2n = -2 + -10

Combine like terms: -2 + -10 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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