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Simplifying 12q + -12 = 7q + 13 Reorder the terms: -12 + 12q = 7q + 13 Reorder the terms: -12 + 12q = 13 + 7q Solving -12 + 12q = 13 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -12 + 12q + -7q = 13 + 7q + -7q Combine like terms: 12q + -7q = 5q -12 + 5q = 13 + 7q + -7q Combine like terms: 7q + -7q = 0 -12 + 5q = 13 + 0 -12 + 5q = 13 Add '12' to each side of the equation. -12 + 12 + 5q = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5q = 13 + 12 5q = 13 + 12 Combine like terms: 13 + 12 = 25 5q = 25 Divide each side by '5'. q = 5 Simplifying q = 5
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