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Simplifying q + -5 + -2 = 7 + -1q Reorder the terms: -5 + -2 + q = 7 + -1q Combine like terms: -5 + -2 = -7 -7 + q = 7 + -1q Solving -7 + q = 7 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -7 + q + q = 7 + -1q + q Combine like terms: q + q = 2q -7 + 2q = 7 + -1q + q Combine like terms: -1q + q = 0 -7 + 2q = 7 + 0 -7 + 2q = 7 Add '7' to each side of the equation. -7 + 7 + 2q = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2q = 7 + 7 2q = 7 + 7 Combine like terms: 7 + 7 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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