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Simplifying 2w + 3(w + 4) = 7 Reorder the terms: 2w + 3(4 + w) = 7 2w + (4 * 3 + w * 3) = 7 2w + (12 + 3w) = 7 Reorder the terms: 12 + 2w + 3w = 7 Combine like terms: 2w + 3w = 5w 12 + 5w = 7 Solving 12 + 5w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5w = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 7 + -12 5w = 7 + -12 Combine like terms: 7 + -12 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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