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Simplifying 7q + -51 = 5q + 19 Reorder the terms: -51 + 7q = 5q + 19 Reorder the terms: -51 + 7q = 19 + 5q Solving -51 + 7q = 19 + 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. -51 + 7q + -5q = 19 + 5q + -5q Combine like terms: 7q + -5q = 2q -51 + 2q = 19 + 5q + -5q Combine like terms: 5q + -5q = 0 -51 + 2q = 19 + 0 -51 + 2q = 19 Add '51' to each side of the equation. -51 + 51 + 2q = 19 + 51 Combine like terms: -51 + 51 = 0 0 + 2q = 19 + 51 2q = 19 + 51 Combine like terms: 19 + 51 = 70 2q = 70 Divide each side by '2'. q = 35 Simplifying q = 35
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