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Simplifying 7q + 8 = 5q + -12 Reorder the terms: 8 + 7q = 5q + -12 Reorder the terms: 8 + 7q = -12 + 5q Solving 8 + 7q = -12 + 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. 8 + 7q + -5q = -12 + 5q + -5q Combine like terms: 7q + -5q = 2q 8 + 2q = -12 + 5q + -5q Combine like terms: 5q + -5q = 0 8 + 2q = -12 + 0 8 + 2q = -12 Add '-8' to each side of the equation. 8 + -8 + 2q = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2q = -12 + -8 2q = -12 + -8 Combine like terms: -12 + -8 = -20 2q = -20 Divide each side by '2'. q = -10 Simplifying q = -10
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