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Simplifying 7(w + 3) = 2w + -27 Reorder the terms: 7(3 + w) = 2w + -27 (3 * 7 + w * 7) = 2w + -27 (21 + 7w) = 2w + -27 Reorder the terms: 21 + 7w = -27 + 2w Solving 21 + 7w = -27 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 21 + 7w + -2w = -27 + 2w + -2w Combine like terms: 7w + -2w = 5w 21 + 5w = -27 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + 5w = -27 + 0 21 + 5w = -27 Add '-21' to each side of the equation. 21 + -21 + 5w = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = -27 + -21 5w = -27 + -21 Combine like terms: -27 + -21 = -48 5w = -48 Divide each side by '5'. w = -9.6 Simplifying w = -9.6
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