0.25q+0.10(2q+7)=8.35

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Solution for 0.25q+0.10(2q+7)=8.35 equation:


Simplifying
0.25q + 0.10(2q + 7) = 8.35

Reorder the terms:
0.25q + 0.10(7 + 2q) = 8.35
0.25q + (7 * 0.10 + 2q * 0.10) = 8.35
0.25q + (0.7 + 0.2q) = 8.35

Reorder the terms:
0.7 + 0.25q + 0.2q = 8.35

Combine like terms: 0.25q + 0.2q = 0.45q
0.7 + 0.45q = 8.35

Solving
0.7 + 0.45q = 8.35

Solving for variable 'q'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.45q = 8.35 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.45q = 8.35 + -0.7
0.45q = 8.35 + -0.7

Combine like terms: 8.35 + -0.7 = 7.65
0.45q = 7.65

Divide each side by '0.45'.
q = 17

Simplifying
q = 17

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