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Simplifying 12 + -1(3 + q) = q + -1 12 + (3 * -1 + q * -1) = q + -1 12 + (-3 + -1q) = q + -1 Combine like terms: 12 + -3 = 9 9 + -1q = q + -1 Reorder the terms: 9 + -1q = -1 + q Solving 9 + -1q = -1 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 9 + -1q + -1q = -1 + q + -1q Combine like terms: -1q + -1q = -2q 9 + -2q = -1 + q + -1q Combine like terms: q + -1q = 0 9 + -2q = -1 + 0 9 + -2q = -1 Add '-9' to each side of the equation. 9 + -9 + -2q = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2q = -1 + -9 -2q = -1 + -9 Combine like terms: -1 + -9 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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