12n-288.5=8n-193.5

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Solution for 12n-288.5=8n-193.5 equation:


Simplifying
12n + -288.5 = 8n + -193.5

Reorder the terms:
-288.5 + 12n = 8n + -193.5

Reorder the terms:
-288.5 + 12n = -193.5 + 8n

Solving
-288.5 + 12n = -193.5 + 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.
-288.5 + 12n + -8n = -193.5 + 8n + -8n

Combine like terms: 12n + -8n = 4n
-288.5 + 4n = -193.5 + 8n + -8n

Combine like terms: 8n + -8n = 0
-288.5 + 4n = -193.5 + 0
-288.5 + 4n = -193.5

Add '288.5' to each side of the equation.
-288.5 + 288.5 + 4n = -193.5 + 288.5

Combine like terms: -288.5 + 288.5 = 0.0
0.0 + 4n = -193.5 + 288.5
4n = -193.5 + 288.5

Combine like terms: -193.5 + 288.5 = 95
4n = 95

Divide each side by '4'.
n = 23.75

Simplifying
n = 23.75

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