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Simplifying 9q + 3w + 7 = 15w + 25 + 3q Reorder the terms: 7 + 9q + 3w = 15w + 25 + 3q Reorder the terms: 7 + 9q + 3w = 25 + 3q + 15w Solving 7 + 9q + 3w = 25 + 3q + 15w 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. 7 + 9q + -3q + 3w = 25 + 3q + -3q + 15w Combine like terms: 9q + -3q = 6q 7 + 6q + 3w = 25 + 3q + -3q + 15w Combine like terms: 3q + -3q = 0 7 + 6q + 3w = 25 + 0 + 15w 7 + 6q + 3w = 25 + 15w Add '-7' to each side of the equation. 7 + 6q + -7 + 3w = 25 + -7 + 15w Reorder the terms: 7 + -7 + 6q + 3w = 25 + -7 + 15w Combine like terms: 7 + -7 = 0 0 + 6q + 3w = 25 + -7 + 15w 6q + 3w = 25 + -7 + 15w Combine like terms: 25 + -7 = 18 6q + 3w = 18 + 15w Add '-3w' to each side of the equation. 6q + 3w + -3w = 18 + 15w + -3w Combine like terms: 3w + -3w = 0 6q + 0 = 18 + 15w + -3w 6q = 18 + 15w + -3w Combine like terms: 15w + -3w = 12w 6q = 18 + 12w Divide each side by '6'. q = 3 + 2w Simplifying q = 3 + 2w
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