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Simplifying 2q + 5 = 4q + 7 Reorder the terms: 5 + 2q = 4q + 7 Reorder the terms: 5 + 2q = 7 + 4q Solving 5 + 2q = 7 + 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. 5 + 2q + -4q = 7 + 4q + -4q Combine like terms: 2q + -4q = -2q 5 + -2q = 7 + 4q + -4q Combine like terms: 4q + -4q = 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 = 2 -2q = 2 Divide each side by '-2'. q = -1 Simplifying q = -1
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