0.25q+0.10(2q+6)=9.15

Solution for 0.25q+0.10(2q+6)=9.15 equation:

Simplifying
0.25q + 0.10(2q + 6) = 9.15

Reorder the terms:
0.25q + 0.10(6 + 2q) = 9.15
0.25q + (6 * 0.10 + 2q * 0.10) = 9.15
0.25q + (0.6 + 0.2q) = 9.15

Reorder the terms:
0.6 + 0.25q + 0.2q = 9.15

Combine like terms: 0.25q + 0.2q = 0.45q
0.6 + 0.45q = 9.15

Solving
0.6 + 0.45q = 9.15

Solving for variable 'q'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.45q = 9.15 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.45q = 9.15 + -0.6
0.45q = 9.15 + -0.6

Combine like terms: 9.15 + -0.6 = 8.55
0.45q = 8.55

Divide each side by '0.45'.
q = 19

Simplifying
q = 19