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Simplifying 3(w + 2) + 2(w + -3) + 5 = 25 Reorder the terms: 3(2 + w) + 2(w + -3) + 5 = 25 (2 * 3 + w * 3) + 2(w + -3) + 5 = 25 (6 + 3w) + 2(w + -3) + 5 = 25 Reorder the terms: 6 + 3w + 2(-3 + w) + 5 = 25 6 + 3w + (-3 * 2 + w * 2) + 5 = 25 6 + 3w + (-6 + 2w) + 5 = 25 Reorder the terms: 6 + -6 + 5 + 3w + 2w = 25 Combine like terms: 6 + -6 = 0 0 + 5 + 3w + 2w = 25 5 + 3w + 2w = 25 Combine like terms: 3w + 2w = 5w 5 + 5w = 25 Solving 5 + 5w = 25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5w = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = 25 + -5 5w = 25 + -5 Combine like terms: 25 + -5 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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