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Simplifying 5q + 6 = 4q + 12 Reorder the terms: 6 + 5q = 4q + 12 Reorder the terms: 6 + 5q = 12 + 4q Solving 6 + 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. 6 + 5q + -4q = 12 + 4q + -4q Combine like terms: 5q + -4q = 1q 6 + 1q = 12 + 4q + -4q Combine like terms: 4q + -4q = 0 6 + 1q = 12 + 0 6 + 1q = 12 Add '-6' to each side of the equation. 6 + -6 + 1q = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1q = 12 + -6 1q = 12 + -6 Combine like terms: 12 + -6 = 6 1q = 6 Divide each side by '1'. q = 6 Simplifying q = 6
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