55=0.17q+0.08(q-600)

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Solution for 55=0.17q+0.08(q-600) equation:


Simplifying
55 = 0.17q + 0.08(q + -600)

Reorder the terms:
55 = 0.17q + 0.08(-600 + q)
55 = 0.17q + (-600 * 0.08 + q * 0.08)
55 = 0.17q + (-48 + 0.08q)

Reorder the terms:
55 = -48 + 0.17q + 0.08q

Combine like terms: 0.17q + 0.08q = 0.25q
55 = -48 + 0.25q

Solving
55 = -48 + 0.25q

Solving for variable 'q'.

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

Add '-0.25q' to each side of the equation.
55 + -0.25q = -48 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
55 + -0.25q = -48 + 0.00
55 + -0.25q = -48

Add '-55' to each side of the equation.
55 + -55 + -0.25q = -48 + -55

Combine like terms: 55 + -55 = 0
0 + -0.25q = -48 + -55
-0.25q = -48 + -55

Combine like terms: -48 + -55 = -103
-0.25q = -103

Divide each side by '-0.25'.
q = 412

Simplifying
q = 412

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