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Simplifying 12q + -7 = -5q + 44 Reorder the terms: -7 + 12q = -5q + 44 Reorder the terms: -7 + 12q = 44 + -5q Solving -7 + 12q = 44 + -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. -7 + 12q + 5q = 44 + -5q + 5q Combine like terms: 12q + 5q = 17q -7 + 17q = 44 + -5q + 5q Combine like terms: -5q + 5q = 0 -7 + 17q = 44 + 0 -7 + 17q = 44 Add '7' to each side of the equation. -7 + 7 + 17q = 44 + 7 Combine like terms: -7 + 7 = 0 0 + 17q = 44 + 7 17q = 44 + 7 Combine like terms: 44 + 7 = 51 17q = 51 Divide each side by '17'. q = 3 Simplifying q = 3
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