6.5n+2.5=-1.5n+50.5

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Solution for 6.5n+2.5=-1.5n+50.5 equation: 


Simplifying
6.5n + 2.5 = -1.5n + 50.5

Reorder the terms:
2.5 + 6.5n = -1.5n + 50.5

Reorder the terms:
2.5 + 6.5n = 50.5 + -1.5n

Solving
2.5 + 6.5n = 50.5 + -1.5n

Solving for variable 'n'.

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

Add '1.5n' to each side of the equation.
2.5 + 6.5n + 1.5n = 50.5 + -1.5n + 1.5n

Combine like terms: 6.5n + 1.5n = 8n
2.5 + 8n = 50.5 + -1.5n + 1.5n

Combine like terms: -1.5n + 1.5n = 0.0
2.5 + 8n = 50.5 + 0.0
2.5 + 8n = 50.5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 8n = 50.5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 8n = 50.5 + -2.5
8n = 50.5 + -2.5

Combine like terms: 50.5 + -2.5 = 48
8n = 48

Divide each side by '8'.
n = 6

Simplifying
n = 6

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