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Simplifying 5q + -30 = 4q + 20 Reorder the terms: -30 + 5q = 4q + 20 Reorder the terms: -30 + 5q = 20 + 4q Solving -30 + 5q = 20 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -30 + 5q + -4q = 20 + 4q + -4q Combine like terms: 5q + -4q = 1q -30 + 1q = 20 + 4q + -4q Combine like terms: 4q + -4q = 0 -30 + 1q = 20 + 0 -30 + 1q = 20 Add '30' to each side of the equation. -30 + 30 + 1q = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 1q = 20 + 30 1q = 20 + 30 Combine like terms: 20 + 30 = 50 1q = 50 Divide each side by '1'. q = 50 Simplifying q = 50
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