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Simplifying 9 + -2 = q + 1 Combine like terms: 9 + -2 = 7 7 = q + 1 Reorder the terms: 7 = 1 + q Solving 7 = 1 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 7 + -1q = 1 + q + -1q Combine like terms: q + -1q = 0 7 + -1q = 1 + 0 7 + -1q = 1 Add '-7' to each side of the equation. 7 + -7 + -1q = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 1 + -7 -1q = 1 + -7 Combine like terms: 1 + -7 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6
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