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