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Simplifying 2 + -1q = 2 + q + 18 + -2 Reorder the terms: 2 + -1q = 2 + 18 + -2 + q Combine like terms: 2 + 18 = 20 2 + -1q = 20 + -2 + q Combine like terms: 20 + -2 = 18 2 + -1q = 18 + q Solving 2 + -1q = 18 + 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. 2 + -1q + -1q = 18 + q + -1q Combine like terms: -1q + -1q = -2q 2 + -2q = 18 + q + -1q Combine like terms: q + -1q = 0 2 + -2q = 18 + 0 2 + -2q = 18 Add '-2' to each side of the equation. 2 + -2 + -2q = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2q = 18 + -2 -2q = 18 + -2 Combine like terms: 18 + -2 = 16 -2q = 16 Divide each side by '-2'. q = -8 Simplifying q = -8
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