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Simplifying 3q + -7 = 2q + 2 Reorder the terms: -7 + 3q = 2q + 2 Reorder the terms: -7 + 3q = 2 + 2q Solving -7 + 3q = 2 + 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 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q -7 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 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 = 9 1q = 9 Divide each side by '1'. q = 9 Simplifying q = 9
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