7.78n-5.4-0.11n+9.59=7.1n+1.34

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Solution for 7.78n-5.4-0.11n+9.59=7.1n+1.34 equation: 


Simplifying
7.78n + -5.4 + -0.11n + 9.59 = 7.1n + 1.34

Reorder the terms:
-5.4 + 9.59 + 7.78n + -0.11n = 7.1n + 1.34

Combine like terms: -5.4 + 9.59 = 4.19
4.19 + 7.78n + -0.11n = 7.1n + 1.34

Combine like terms: 7.78n + -0.11n = 7.67n
4.19 + 7.67n = 7.1n + 1.34

Reorder the terms:
4.19 + 7.67n = 1.34 + 7.1n

Solving
4.19 + 7.67n = 1.34 + 7.1n

Solving for variable 'n'.

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

Add '-7.1n' to each side of the equation.
4.19 + 7.67n + -7.1n = 1.34 + 7.1n + -7.1n

Combine like terms: 7.67n + -7.1n = 0.57n
4.19 + 0.57n = 1.34 + 7.1n + -7.1n

Combine like terms: 7.1n + -7.1n = 0.0
4.19 + 0.57n = 1.34 + 0.0
4.19 + 0.57n = 1.34

Add '-4.19' to each side of the equation.
4.19 + -4.19 + 0.57n = 1.34 + -4.19

Combine like terms: 4.19 + -4.19 = 0.00
0.00 + 0.57n = 1.34 + -4.19
0.57n = 1.34 + -4.19

Combine like terms: 1.34 + -4.19 = -2.85
0.57n = -2.85

Divide each side by '0.57'.
n = -5

Simplifying
n = -5

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