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