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Simplifying 50 + -2q = 10 + 3q Solving 50 + -2q = 10 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 50 + -2q + -3q = 10 + 3q + -3q Combine like terms: -2q + -3q = -5q 50 + -5q = 10 + 3q + -3q Combine like terms: 3q + -3q = 0 50 + -5q = 10 + 0 50 + -5q = 10 Add '-50' to each side of the equation. 50 + -50 + -5q = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -5q = 10 + -50 -5q = 10 + -50 Combine like terms: 10 + -50 = -40 -5q = -40 Divide each side by '-5'. q = 8 Simplifying q = 8
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