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Simplifying 54 + -3q = 6q + 9 Reorder the terms: 54 + -3q = 9 + 6q Solving 54 + -3q = 9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 54 + -3q + -6q = 9 + 6q + -6q Combine like terms: -3q + -6q = -9q 54 + -9q = 9 + 6q + -6q Combine like terms: 6q + -6q = 0 54 + -9q = 9 + 0 54 + -9q = 9 Add '-54' to each side of the equation. 54 + -54 + -9q = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -9q = 9 + -54 -9q = 9 + -54 Combine like terms: 9 + -54 = -45 -9q = -45 Divide each side by '-9'. q = 5 Simplifying q = 5
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