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Simplifying q + 5 = 2q + 7 Reorder the terms: 5 + q = 2q + 7 Reorder the terms: 5 + q = 7 + 2q Solving 5 + q = 7 + 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. 5 + q + -2q = 7 + 2q + -2q Combine like terms: q + -2q = -1q 5 + -1q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + -1q = 7 + 0 5 + -1q = 7 Add '-5' to each side of the equation. 5 + -5 + -1q = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1q = 7 + -5 -1q = 7 + -5 Combine like terms: 7 + -5 = 2 -1q = 2 Divide each side by '-1'. q = -2 Simplifying q = -2
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