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Simplifying 17q + -1 = 52q + -71 Reorder the terms: -1 + 17q = 52q + -71 Reorder the terms: -1 + 17q = -71 + 52q Solving -1 + 17q = -71 + 52q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-52q' to each side of the equation. -1 + 17q + -52q = -71 + 52q + -52q Combine like terms: 17q + -52q = -35q -1 + -35q = -71 + 52q + -52q Combine like terms: 52q + -52q = 0 -1 + -35q = -71 + 0 -1 + -35q = -71 Add '1' to each side of the equation. -1 + 1 + -35q = -71 + 1 Combine like terms: -1 + 1 = 0 0 + -35q = -71 + 1 -35q = -71 + 1 Combine like terms: -71 + 1 = -70 -35q = -70 Divide each side by '-35'. q = 2 Simplifying q = 2
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