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Simplifying -8q + 1 + 3q = 10 + -6q Reorder the terms: 1 + -8q + 3q = 10 + -6q Combine like terms: -8q + 3q = -5q 1 + -5q = 10 + -6q Solving 1 + -5q = 10 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 1 + -5q + 6q = 10 + -6q + 6q Combine like terms: -5q + 6q = 1q 1 + 1q = 10 + -6q + 6q Combine like terms: -6q + 6q = 0 1 + 1q = 10 + 0 1 + 1q = 10 Add '-1' to each side of the equation. 1 + -1 + 1q = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1q = 10 + -1 1q = 10 + -1 Combine like terms: 10 + -1 = 9 1q = 9 Divide each side by '1'. q = 9 Simplifying q = 9
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