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Simplifying (7q + 5) = (4q + 5) Reorder the terms: (5 + 7q) = (4q + 5) Remove parenthesis around (5 + 7q) 5 + 7q = (4q + 5) Reorder the terms: 5 + 7q = (5 + 4q) Remove parenthesis around (5 + 4q) 5 + 7q = 5 + 4q Add '-5' to each side of the equation. 5 + -5 + 7q = 5 + -5 + 4q Combine like terms: 5 + -5 = 0 0 + 7q = 5 + -5 + 4q 7q = 5 + -5 + 4q Combine like terms: 5 + -5 = 0 7q = 0 + 4q 7q = 4q Solving 7q = 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 7q + -4q = 4q + -4q Combine like terms: 7q + -4q = 3q 3q = 4q + -4q Combine like terms: 4q + -4q = 0 3q = 0 Divide each side by '3'. q = 0 Simplifying q = 0
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