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Simplifying 24q + 14 + -9q = 6q + -13 Reorder the terms: 14 + 24q + -9q = 6q + -13 Combine like terms: 24q + -9q = 15q 14 + 15q = 6q + -13 Reorder the terms: 14 + 15q = -13 + 6q Solving 14 + 15q = -13 + 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. 14 + 15q + -6q = -13 + 6q + -6q Combine like terms: 15q + -6q = 9q 14 + 9q = -13 + 6q + -6q Combine like terms: 6q + -6q = 0 14 + 9q = -13 + 0 14 + 9q = -13 Add '-14' to each side of the equation. 14 + -14 + 9q = -13 + -14 Combine like terms: 14 + -14 = 0 0 + 9q = -13 + -14 9q = -13 + -14 Combine like terms: -13 + -14 = -27 9q = -27 Divide each side by '9'. q = -3 Simplifying q = -3
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