7.8=3+0.1n+0.7

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Solution for 7.8=3+0.1n+0.7 equation: 


Simplifying
7.8 = 3 + 0.1n + 0.7

Reorder the terms:
7.8 = 3 + 0.7 + 0.1n

Combine like terms: 3 + 0.7 = 3.7
7.8 = 3.7 + 0.1n

Solving
7.8 = 3.7 + 0.1n

Solving for variable 'n'.

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

Add '-0.1n' to each side of the equation.
7.8 + -0.1n = 3.7 + 0.1n + -0.1n

Combine like terms: 0.1n + -0.1n = 0.0
7.8 + -0.1n = 3.7 + 0.0
7.8 + -0.1n = 3.7

Add '-7.8' to each side of the equation.
7.8 + -7.8 + -0.1n = 3.7 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + -0.1n = 3.7 + -7.8
-0.1n = 3.7 + -7.8

Combine like terms: 3.7 + -7.8 = -4.1
-0.1n = -4.1

Divide each side by '-0.1'.
n = 41

Simplifying
n = 41

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