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Simplifying 9q + 7 = 2q + 42 Reorder the terms: 7 + 9q = 2q + 42 Reorder the terms: 7 + 9q = 42 + 2q Solving 7 + 9q = 42 + 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 = 42 + 2q + -2q Combine like terms: 9q + -2q = 7q 7 + 7q = 42 + 2q + -2q Combine like terms: 2q + -2q = 0 7 + 7q = 42 + 0 7 + 7q = 42 Add '-7' to each side of the equation. 7 + -7 + 7q = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 7q = 42 + -7 7q = 42 + -7 Combine like terms: 42 + -7 = 35 7q = 35 Divide each side by '7'. q = 5 Simplifying q = 5
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