7.3n+4.2=1.1n+6.7n+7.6

Solution for 7.3n+4.2=1.1n+6.7n+7.6 equation:

Simplifying
7.3n + 4.2 = 1.1n + 6.7n + 7.6

Reorder the terms:
4.2 + 7.3n = 1.1n + 6.7n + 7.6

Reorder the terms:
4.2 + 7.3n = 7.6 + 1.1n + 6.7n

Combine like terms: 1.1n + 6.7n = 7.8n
4.2 + 7.3n = 7.6 + 7.8n

Solving
4.2 + 7.3n = 7.6 + 7.8n

Solving for variable 'n'.

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

Add '-7.8n' to each side of the equation.
4.2 + 7.3n + -7.8n = 7.6 + 7.8n + -7.8n

Combine like terms: 7.3n + -7.8n = -0.5n
4.2 + -0.5n = 7.6 + 7.8n + -7.8n

Combine like terms: 7.8n + -7.8n = 0.0
4.2 + -0.5n = 7.6 + 0.0
4.2 + -0.5n = 7.6

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -0.5n = 7.6 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -0.5n = 7.6 + -4.2
-0.5n = 7.6 + -4.2

Combine like terms: 7.6 + -4.2 = 3.4
-0.5n = 3.4

Divide each side by '-0.5'.
n = -6.8

Simplifying
n = -6.8