(q*.25)+(q+9).05=3.45

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Solution for (q*.25)+(q+9).05=3.45 equation: 


Simplifying
(q * 0.25) + (q + 9) * 0.05 = 3.45

Reorder the terms for easier multiplication:
(0.25q) + (q + 9) * 0.05 = 3.45

Reorder the terms:
(0.25q) + (9 + q) * 0.05 = 3.45

Reorder the terms for easier multiplication:
(0.25q) + 0.05(9 + q) = 3.45
(0.25q) + (9 * 0.05 + q * 0.05) = 3.45
(0.25q) + (0.45 + 0.05q) = 3.45

Reorder the terms:
0.45 + (0.25q) + 0.05q = 3.45

Combine like terms: (0.25q) + 0.05q = 0.3q
0.45 + 0.3q = 3.45

Solving
0.45 + 0.3q = 3.45

Solving for variable 'q'.

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

Add '-0.45' to each side of the equation.
0.45 + -0.45 + 0.3q = 3.45 + -0.45

Combine like terms: 0.45 + -0.45 = 0.00
0.00 + 0.3q = 3.45 + -0.45
0.3q = 3.45 + -0.45

Combine like terms: 3.45 + -0.45 = 3
0.3q = 3

Divide each side by '0.3'.
q = 10

Simplifying
q = 10

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