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Simplifying 8 + -1q = -12 + -3q Solving 8 + -1q = -12 + -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. 8 + -1q + 3q = -12 + -3q + 3q Combine like terms: -1q + 3q = 2q 8 + 2q = -12 + -3q + 3q Combine like terms: -3q + 3q = 0 8 + 2q = -12 + 0 8 + 2q = -12 Add '-8' to each side of the equation. 8 + -8 + 2q = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2q = -12 + -8 2q = -12 + -8 Combine like terms: -12 + -8 = -20 2q = -20 Divide each side by '2'. q = -10 Simplifying q = -10
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