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Simplifying 1 + 1 + -1q + -3 = 8 + 8q Reorder the terms: 1 + 1 + -3 + -1q = 8 + 8q Combine like terms: 1 + 1 = 2 2 + -3 + -1q = 8 + 8q Combine like terms: 2 + -3 = -1 -1 + -1q = 8 + 8q Solving -1 + -1q = 8 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -1 + -1q + -8q = 8 + 8q + -8q Combine like terms: -1q + -8q = -9q -1 + -9q = 8 + 8q + -8q Combine like terms: 8q + -8q = 0 -1 + -9q = 8 + 0 -1 + -9q = 8 Add '1' to each side of the equation. -1 + 1 + -9q = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -9q = 8 + 1 -9q = 8 + 1 Combine like terms: 8 + 1 = 9 -9q = 9 Divide each side by '-9'. q = -1 Simplifying q = -1
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