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Simplifying 5q + -12 = 3q + 7 Reorder the terms: -12 + 5q = 3q + 7 Reorder the terms: -12 + 5q = 7 + 3q Solving -12 + 5q = 7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -12 + 5q + -3q = 7 + 3q + -3q Combine like terms: 5q + -3q = 2q -12 + 2q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 -12 + 2q = 7 + 0 -12 + 2q = 7 Add '12' to each side of the equation. -12 + 12 + 2q = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = 7 + 12 2q = 7 + 12 Combine like terms: 7 + 12 = 19 2q = 19 Divide each side by '2'. q = 9.5 Simplifying q = 9.5
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