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