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Simplifying 5q + -6 = 54 + -1q Reorder the terms: -6 + 5q = 54 + -1q Solving -6 + 5q = 54 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -6 + 5q + q = 54 + -1q + q Combine like terms: 5q + q = 6q -6 + 6q = 54 + -1q + q Combine like terms: -1q + q = 0 -6 + 6q = 54 + 0 -6 + 6q = 54 Add '6' to each side of the equation. -6 + 6 + 6q = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 6q = 54 + 6 6q = 54 + 6 Combine like terms: 54 + 6 = 60 6q = 60 Divide each side by '6'. q = 10 Simplifying q = 10
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