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Simplifying 4q + 13 + 7q + -5 = -52 Reorder the terms: 13 + -5 + 4q + 7q = -52 Combine like terms: 13 + -5 = 8 8 + 4q + 7q = -52 Combine like terms: 4q + 7q = 11q 8 + 11q = -52 Solving 8 + 11q = -52 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11q = -52 + -8 Combine like terms: 8 + -8 = 0 0 + 11q = -52 + -8 11q = -52 + -8 Combine like terms: -52 + -8 = -60 11q = -60 Divide each side by '11'. q = -5.454545455 Simplifying q = -5.454545455
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