2.2(n-0.5)=-0.3(n+19)

Solution for 2.2(n-0.5)=-0.3(n+19) equation:

Simplifying
2.2(n + -0.5) = -0.3(n + 19)

Reorder the terms:
2.2(-0.5 + n) = -0.3(n + 19)
(-0.5 * 2.2 + n * 2.2) = -0.3(n + 19)
(-1.1 + 2.2n) = -0.3(n + 19)

Reorder the terms:
-1.1 + 2.2n = -0.3(19 + n)
-1.1 + 2.2n = (19 * -0.3 + n * -0.3)
-1.1 + 2.2n = (-5.7 + -0.3n)

Solving
-1.1 + 2.2n = -5.7 + -0.3n

Solving for variable 'n'.

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

Add '0.3n' to each side of the equation.
-1.1 + 2.2n + 0.3n = -5.7 + -0.3n + 0.3n

Combine like terms: 2.2n + 0.3n = 2.5n
-1.1 + 2.5n = -5.7 + -0.3n + 0.3n

Combine like terms: -0.3n + 0.3n = 0.0
-1.1 + 2.5n = -5.7 + 0.0
-1.1 + 2.5n = -5.7

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 2.5n = -5.7 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 2.5n = -5.7 + 1.1
2.5n = -5.7 + 1.1

Combine like terms: -5.7 + 1.1 = -4.6
2.5n = -4.6

Divide each side by '2.5'.
n = -1.84

Simplifying
n = -1.84