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Simplifying 7q + -12 = 5q + -3 Reorder the terms: -12 + 7q = 5q + -3 Reorder the terms: -12 + 7q = -3 + 5q Solving -12 + 7q = -3 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -12 + 7q + -5q = -3 + 5q + -5q Combine like terms: 7q + -5q = 2q -12 + 2q = -3 + 5q + -5q Combine like terms: 5q + -5q = 0 -12 + 2q = -3 + 0 -12 + 2q = -3 Add '12' to each side of the equation. -12 + 12 + 2q = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = -3 + 12 2q = -3 + 12 Combine like terms: -3 + 12 = 9 2q = 9 Divide each side by '2'. q = 4.5 Simplifying q = 4.5
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