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Simplifying 3q + -9q + -1 = -6 + -7q Reorder the terms: -1 + 3q + -9q = -6 + -7q Combine like terms: 3q + -9q = -6q -1 + -6q = -6 + -7q Solving -1 + -6q = -6 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. -1 + -6q + 7q = -6 + -7q + 7q Combine like terms: -6q + 7q = 1q -1 + 1q = -6 + -7q + 7q Combine like terms: -7q + 7q = 0 -1 + 1q = -6 + 0 -1 + 1q = -6 Add '1' to each side of the equation. -1 + 1 + 1q = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 1q = -6 + 1 1q = -6 + 1 Combine like terms: -6 + 1 = -5 1q = -5 Divide each side by '1'. q = -5 Simplifying q = -5
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