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Simplifying 5(w + 5) = 7w + 27 Reorder the terms: 5(5 + w) = 7w + 27 (5 * 5 + w * 5) = 7w + 27 (25 + 5w) = 7w + 27 Reorder the terms: 25 + 5w = 27 + 7w Solving 25 + 5w = 27 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 25 + 5w + -7w = 27 + 7w + -7w Combine like terms: 5w + -7w = -2w 25 + -2w = 27 + 7w + -7w Combine like terms: 7w + -7w = 0 25 + -2w = 27 + 0 25 + -2w = 27 Add '-25' to each side of the equation. 25 + -25 + -2w = 27 + -25 Combine like terms: 25 + -25 = 0 0 + -2w = 27 + -25 -2w = 27 + -25 Combine like terms: 27 + -25 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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