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Simplifying 11q + -12 = -2(-3 + -1q) Reorder the terms: -12 + 11q = -2(-3 + -1q) -12 + 11q = (-3 * -2 + -1q * -2) -12 + 11q = (6 + 2q) Solving -12 + 11q = 6 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -12 + 11q + -2q = 6 + 2q + -2q Combine like terms: 11q + -2q = 9q -12 + 9q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 -12 + 9q = 6 + 0 -12 + 9q = 6 Add '12' to each side of the equation. -12 + 12 + 9q = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9q = 6 + 12 9q = 6 + 12 Combine like terms: 6 + 12 = 18 9q = 18 Divide each side by '9'. q = 2 Simplifying q = 2
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