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Simplifying 12q + 7 = 9q + 28 Reorder the terms: 7 + 12q = 9q + 28 Reorder the terms: 7 + 12q = 28 + 9q Solving 7 + 12q = 28 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 7 + 12q + -9q = 28 + 9q + -9q Combine like terms: 12q + -9q = 3q 7 + 3q = 28 + 9q + -9q Combine like terms: 9q + -9q = 0 7 + 3q = 28 + 0 7 + 3q = 28 Add '-7' to each side of the equation. 7 + -7 + 3q = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 3q = 28 + -7 3q = 28 + -7 Combine like terms: 28 + -7 = 21 3q = 21 Divide each side by '3'. q = 7 Simplifying q = 7
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