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Simplifying 500 + 20q = 800 + -40q Solving 500 + 20q = 800 + -40q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '40q' to each side of the equation. 500 + 20q + 40q = 800 + -40q + 40q Combine like terms: 20q + 40q = 60q 500 + 60q = 800 + -40q + 40q Combine like terms: -40q + 40q = 0 500 + 60q = 800 + 0 500 + 60q = 800 Add '-500' to each side of the equation. 500 + -500 + 60q = 800 + -500 Combine like terms: 500 + -500 = 0 0 + 60q = 800 + -500 60q = 800 + -500 Combine like terms: 800 + -500 = 300 60q = 300 Divide each side by '60'. q = 5 Simplifying q = 5
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