1.1(0.3-n)=6(0.5-0.2n)

Solution for 1.1(0.3-n)=6(0.5-0.2n) equation:

Simplifying
1.1(0.3 + -1n) = 6(0.5 + -0.2n)
(0.3 * 1.1 + -1n * 1.1) = 6(0.5 + -0.2n)
(0.33 + -1.1n) = 6(0.5 + -0.2n)
0.33 + -1.1n = (0.5 * 6 + -0.2n * 6)
0.33 + -1.1n = (3 + -1.2n)

Solving
0.33 + -1.1n = 3 + -1.2n

Solving for variable 'n'.

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

Add '1.2n' to each side of the equation.
0.33 + -1.1n + 1.2n = 3 + -1.2n + 1.2n

Combine like terms: -1.1n + 1.2n = 0.1n
0.33 + 0.1n = 3 + -1.2n + 1.2n

Combine like terms: -1.2n + 1.2n = 0.0
0.33 + 0.1n = 3 + 0.0
0.33 + 0.1n = 3

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 0.1n = 3 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 0.1n = 3 + -0.33
0.1n = 3 + -0.33

Combine like terms: 3 + -0.33 = 2.67
0.1n = 2.67

Divide each side by '0.1'.
n = 26.7

Simplifying
n = 26.7