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Simplifying -5w + 3(w + 5) = 27 Reorder the terms: -5w + 3(5 + w) = 27 -5w + (5 * 3 + w * 3) = 27 -5w + (15 + 3w) = 27 Reorder the terms: 15 + -5w + 3w = 27 Combine like terms: -5w + 3w = -2w 15 + -2w = 27 Solving 15 + -2w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2w = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 27 + -15 -2w = 27 + -15 Combine like terms: 27 + -15 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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