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Simplifying 13 + 4q = 2q + 12 + q Reorder the terms: 13 + 4q = 12 + 2q + q Combine like terms: 2q + q = 3q 13 + 4q = 12 + 3q Solving 13 + 4q = 12 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 13 + 4q + -3q = 12 + 3q + -3q Combine like terms: 4q + -3q = 1q 13 + 1q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 13 + 1q = 12 + 0 13 + 1q = 12 Add '-13' to each side of the equation. 13 + -13 + 1q = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1q = 12 + -13 1q = 12 + -13 Combine like terms: 12 + -13 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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