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Simplifying 10 + 2q + 10 = -10 + -4q Reorder the terms: 10 + 10 + 2q = -10 + -4q Combine like terms: 10 + 10 = 20 20 + 2q = -10 + -4q Solving 20 + 2q = -10 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 20 + 2q + 4q = -10 + -4q + 4q Combine like terms: 2q + 4q = 6q 20 + 6q = -10 + -4q + 4q Combine like terms: -4q + 4q = 0 20 + 6q = -10 + 0 20 + 6q = -10 Add '-20' to each side of the equation. 20 + -20 + 6q = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 6q = -10 + -20 6q = -10 + -20 Combine like terms: -10 + -20 = -30 6q = -30 Divide each side by '6'. q = -5 Simplifying q = -5
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