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Simplifying 7 + 4q = 2 + -1q + 10 Reorder the terms: 7 + 4q = 2 + 10 + -1q Combine like terms: 2 + 10 = 12 7 + 4q = 12 + -1q Solving 7 + 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. 7 + 4q + q = 12 + -1q + q Combine like terms: 4q + q = 5q 7 + 5q = 12 + -1q + q Combine like terms: -1q + q = 0 7 + 5q = 12 + 0 7 + 5q = 12 Add '-7' to each side of the equation. 7 + -7 + 5q = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5q = 12 + -7 5q = 12 + -7 Combine like terms: 12 + -7 = 5 5q = 5 Divide each side by '5'. q = 1 Simplifying q = 1
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