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Simplifying -1q + -9 = -1q + -3q + 6 Reorder the terms: -9 + -1q = -1q + -3q + 6 Reorder the terms: -9 + -1q = 6 + -1q + -3q Combine like terms: -1q + -3q = -4q -9 + -1q = 6 + -4q Solving -9 + -1q = 6 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -9 + -1q + 4q = 6 + -4q + 4q Combine like terms: -1q + 4q = 3q -9 + 3q = 6 + -4q + 4q Combine like terms: -4q + 4q = 0 -9 + 3q = 6 + 0 -9 + 3q = 6 Add '9' to each side of the equation. -9 + 9 + 3q = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3q = 6 + 9 3q = 6 + 9 Combine like terms: 6 + 9 = 15 3q = 15 Divide each side by '3'. q = 5 Simplifying q = 5
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