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Simplifying 2q + 4 = q + 2 Reorder the terms: 4 + 2q = q + 2 Reorder the terms: 4 + 2q = 2 + q Solving 4 + 2q = 2 + 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. 4 + 2q + -1q = 2 + q + -1q Combine like terms: 2q + -1q = 1q 4 + 1q = 2 + q + -1q Combine like terms: q + -1q = 0 4 + 1q = 2 + 0 4 + 1q = 2 Add '-4' to each side of the equation. 4 + -4 + 1q = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1q = 2 + -4 1q = 2 + -4 Combine like terms: 2 + -4 = -2 1q = -2 Divide each side by '1'. q = -2 Simplifying q = -2
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