8n+4=9n-6

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Solution for 8n+4=9n-6 equation:


Simplifying
8n + 4 = 9n + -6

Reorder the terms:
4 + 8n = 9n + -6

Reorder the terms:
4 + 8n = -6 + 9n

Solving
4 + 8n = -6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
4 + 8n + -9n = -6 + 9n + -9n

Combine like terms: 8n + -9n = -1n
4 + -1n = -6 + 9n + -9n

Combine like terms: 9n + -9n = 0
4 + -1n = -6 + 0
4 + -1n = -6

Add '-4' to each side of the equation.
4 + -4 + -1n = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -6 + -4
-1n = -6 + -4

Combine like terms: -6 + -4 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10

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