4n+32=8n-9+14

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Solution for 4n+32=8n-9+14 equation:


Simplifying
4n + 32 = 8n + -9 + 14

Reorder the terms:
32 + 4n = 8n + -9 + 14

Reorder the terms:
32 + 4n = -9 + 14 + 8n

Combine like terms: -9 + 14 = 5
32 + 4n = 5 + 8n

Solving
32 + 4n = 5 + 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.
32 + 4n + -8n = 5 + 8n + -8n

Combine like terms: 4n + -8n = -4n
32 + -4n = 5 + 8n + -8n

Combine like terms: 8n + -8n = 0
32 + -4n = 5 + 0
32 + -4n = 5

Add '-32' to each side of the equation.
32 + -32 + -4n = 5 + -32

Combine like terms: 32 + -32 = 0
0 + -4n = 5 + -32
-4n = 5 + -32

Combine like terms: 5 + -32 = -27
-4n = -27

Divide each side by '-4'.
n = 6.75

Simplifying
n = 6.75

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