35=0.09q+.11(q-800)

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Solution for 35=0.09q+.11(q-800) equation: 


Simplifying
35 = 0.09q + 0.11(q + -800)

Reorder the terms:
35 = 0.09q + 0.11(-800 + q)
35 = 0.09q + (-800 * 0.11 + q * 0.11)
35 = 0.09q + (-88 + 0.11q)

Reorder the terms:
35 = -88 + 0.09q + 0.11q

Combine like terms: 0.09q + 0.11q = 0.2q
35 = -88 + 0.2q

Solving
35 = -88 + 0.2q

Solving for variable 'q'.

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

Add '-0.2q' to each side of the equation.
35 + -0.2q = -88 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
35 + -0.2q = -88 + 0.0
35 + -0.2q = -88

Add '-35' to each side of the equation.
35 + -35 + -0.2q = -88 + -35

Combine like terms: 35 + -35 = 0
0 + -0.2q = -88 + -35
-0.2q = -88 + -35

Combine like terms: -88 + -35 = -123
-0.2q = -123

Divide each side by '-0.2'.
q = 615

Simplifying
q = 615

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