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Simplifying 5q + -5 = 3q + 7 Reorder the terms: -5 + 5q = 3q + 7 Reorder the terms: -5 + 5q = 7 + 3q Solving -5 + 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. -5 + 5q + -3q = 7 + 3q + -3q Combine like terms: 5q + -3q = 2q -5 + 2q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 -5 + 2q = 7 + 0 -5 + 2q = 7 Add '5' to each side of the equation. -5 + 5 + 2q = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2q = 7 + 5 2q = 7 + 5 Combine like terms: 7 + 5 = 12 2q = 12 Divide each side by '2'. q = 6 Simplifying q = 6
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