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Simplifying 9q + -7 = 2q + 14 Reorder the terms: -7 + 9q = 2q + 14 Reorder the terms: -7 + 9q = 14 + 2q Solving -7 + 9q = 14 + 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. -7 + 9q + -2q = 14 + 2q + -2q Combine like terms: 9q + -2q = 7q -7 + 7q = 14 + 2q + -2q Combine like terms: 2q + -2q = 0 -7 + 7q = 14 + 0 -7 + 7q = 14 Add '7' to each side of the equation. -7 + 7 + 7q = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7q = 14 + 7 7q = 14 + 7 Combine like terms: 14 + 7 = 21 7q = 21 Divide each side by '7'. q = 3 Simplifying q = 3
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