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Simplifying 9q + -8 = 2q + 13 Reorder the terms: -8 + 9q = 2q + 13 Reorder the terms: -8 + 9q = 13 + 2q Solving -8 + 9q = 13 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -8 + 9q + -2q = 13 + 2q + -2q Combine like terms: 9q + -2q = 7q -8 + 7q = 13 + 2q + -2q Combine like terms: 2q + -2q = 0 -8 + 7q = 13 + 0 -8 + 7q = 13 Add '8' to each side of the equation. -8 + 8 + 7q = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7q = 13 + 8 7q = 13 + 8 Combine like terms: 13 + 8 = 21 7q = 21 Divide each side by '7'. q = 3 Simplifying q = 3
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