0.25q+0.10(2q+2)=10.55

Solution for 0.25q+0.10(2q+2)=10.55 equation:

Simplifying
0.25q + 0.10(2q + 2) = 10.55

Reorder the terms:
0.25q + 0.10(2 + 2q) = 10.55
0.25q + (2 * 0.10 + 2q * 0.10) = 10.55
0.25q + (0.2 + 0.2q) = 10.55

Reorder the terms:
0.2 + 0.25q + 0.2q = 10.55

Combine like terms: 0.25q + 0.2q = 0.45q
0.2 + 0.45q = 10.55

Solving
0.2 + 0.45q = 10.55

Solving for variable 'q'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.45q = 10.55 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.45q = 10.55 + -0.2
0.45q = 10.55 + -0.2

Combine like terms: 10.55 + -0.2 = 10.35
0.45q = 10.35

Divide each side by '0.45'.
q = 23

Simplifying
q = 23