1.3n+6.7=3.1n-1.4

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Solution for 1.3n+6.7=3.1n-1.4 equation: 


Simplifying
1.3n + 6.7 = 3.1n + -1.4

Reorder the terms:
6.7 + 1.3n = 3.1n + -1.4

Reorder the terms:
6.7 + 1.3n = -1.4 + 3.1n

Solving
6.7 + 1.3n = -1.4 + 3.1n

Solving for variable 'n'.

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

Add '-3.1n' to each side of the equation.
6.7 + 1.3n + -3.1n = -1.4 + 3.1n + -3.1n

Combine like terms: 1.3n + -3.1n = -1.8n
6.7 + -1.8n = -1.4 + 3.1n + -3.1n

Combine like terms: 3.1n + -3.1n = 0.0
6.7 + -1.8n = -1.4 + 0.0
6.7 + -1.8n = -1.4

Add '-6.7' to each side of the equation.
6.7 + -6.7 + -1.8n = -1.4 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + -1.8n = -1.4 + -6.7
-1.8n = -1.4 + -6.7

Combine like terms: -1.4 + -6.7 = -8.1
-1.8n = -8.1

Divide each side by '-1.8'.
n = 4.5

Simplifying
n = 4.5

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