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Simplifying 2w + 3(w + 4) + -10 = 27 Reorder the terms: 2w + 3(4 + w) + -10 = 27 2w + (4 * 3 + w * 3) + -10 = 27 2w + (12 + 3w) + -10 = 27 Reorder the terms: 12 + -10 + 2w + 3w = 27 Combine like terms: 12 + -10 = 2 2 + 2w + 3w = 27 Combine like terms: 2w + 3w = 5w 2 + 5w = 27 Solving 2 + 5w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5w = 27 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 27 + -2 5w = 27 + -2 Combine like terms: 27 + -2 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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