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Simplifying 2q + 7 = 3q + 2 Reorder the terms: 7 + 2q = 3q + 2 Reorder the terms: 7 + 2q = 2 + 3q Solving 7 + 2q = 2 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 7 + 2q + -3q = 2 + 3q + -3q Combine like terms: 2q + -3q = -1q 7 + -1q = 2 + 3q + -3q Combine like terms: 3q + -3q = 0 7 + -1q = 2 + 0 7 + -1q = 2 Add '-7' to each side of the equation. 7 + -7 + -1q = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 2 + -7 -1q = 2 + -7 Combine like terms: 2 + -7 = -5 -1q = -5 Divide each side by '-1'. q = 5 Simplifying q = 5
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