5n-6=-3n+10

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Solution for 5n-6=-3n+10 equation:


Simplifying
5n + -6 = -3n + 10

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

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

Solving
-6 + 5n = 10 + -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.
-6 + 5n + 3n = 10 + -3n + 3n

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

Combine like terms: -3n + 3n = 0
-6 + 8n = 10 + 0
-6 + 8n = 10

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

Combine like terms: -6 + 6 = 0
0 + 8n = 10 + 6
8n = 10 + 6

Combine like terms: 10 + 6 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2

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