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Simplifying 500 = 900 + 2q Solving 500 = 900 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 500 + -2q = 900 + 2q + -2q Combine like terms: 2q + -2q = 0 500 + -2q = 900 + 0 500 + -2q = 900 Add '-500' to each side of the equation. 500 + -500 + -2q = 900 + -500 Combine like terms: 500 + -500 = 0 0 + -2q = 900 + -500 -2q = 900 + -500 Combine like terms: 900 + -500 = 400 -2q = 400 Divide each side by '-2'. q = -200 Simplifying q = -200
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