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Simplifying 6q + -24 = -9q + 51 Reorder the terms: -24 + 6q = -9q + 51 Reorder the terms: -24 + 6q = 51 + -9q Solving -24 + 6q = 51 + -9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9q' to each side of the equation. -24 + 6q + 9q = 51 + -9q + 9q Combine like terms: 6q + 9q = 15q -24 + 15q = 51 + -9q + 9q Combine like terms: -9q + 9q = 0 -24 + 15q = 51 + 0 -24 + 15q = 51 Add '24' to each side of the equation. -24 + 24 + 15q = 51 + 24 Combine like terms: -24 + 24 = 0 0 + 15q = 51 + 24 15q = 51 + 24 Combine like terms: 51 + 24 = 75 15q = 75 Divide each side by '15'. q = 5 Simplifying q = 5
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