3.8n-13=1.4n+5

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Solution for 3.8n-13=1.4n+5 equation: 


Simplifying
3.8n + -13 = 1.4n + 5

Reorder the terms:
-13 + 3.8n = 1.4n + 5

Reorder the terms:
-13 + 3.8n = 5 + 1.4n

Solving
-13 + 3.8n = 5 + 1.4n

Solving for variable 'n'.

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

Add '-1.4n' to each side of the equation.
-13 + 3.8n + -1.4n = 5 + 1.4n + -1.4n

Combine like terms: 3.8n + -1.4n = 2.4n
-13 + 2.4n = 5 + 1.4n + -1.4n

Combine like terms: 1.4n + -1.4n = 0.0
-13 + 2.4n = 5 + 0.0
-13 + 2.4n = 5

Add '13' to each side of the equation.
-13 + 13 + 2.4n = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 2.4n = 5 + 13
2.4n = 5 + 13

Combine like terms: 5 + 13 = 18
2.4n = 18

Divide each side by '2.4'.
n = 7.5

Simplifying
n = 7.5

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