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Simplifying -6q + 8q + -3 = q + -1 Reorder the terms: -3 + -6q + 8q = q + -1 Combine like terms: -6q + 8q = 2q -3 + 2q = q + -1 Reorder the terms: -3 + 2q = -1 + q Solving -3 + 2q = -1 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -3 + 2q + -1q = -1 + q + -1q Combine like terms: 2q + -1q = 1q -3 + 1q = -1 + q + -1q Combine like terms: q + -1q = 0 -3 + 1q = -1 + 0 -3 + 1q = -1 Add '3' to each side of the equation. -3 + 3 + 1q = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 1q = -1 + 3 1q = -1 + 3 Combine like terms: -1 + 3 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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