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Simplifying 13 + 4q = -2q + -12 + q Reorder the terms: 13 + 4q = -12 + -2q + q Combine like terms: -2q + q = -1q 13 + 4q = -12 + -1q Solving 13 + 4q = -12 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 13 + 4q + q = -12 + -1q + q Combine like terms: 4q + q = 5q 13 + 5q = -12 + -1q + q Combine like terms: -1q + q = 0 13 + 5q = -12 + 0 13 + 5q = -12 Add '-13' to each side of the equation. 13 + -13 + 5q = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 5q = -12 + -13 5q = -12 + -13 Combine like terms: -12 + -13 = -25 5q = -25 Divide each side by '5'. q = -5 Simplifying q = -5
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