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Simplifying -7(w + -3) = -5w + 27 Reorder the terms: -7(-3 + w) = -5w + 27 (-3 * -7 + w * -7) = -5w + 27 (21 + -7w) = -5w + 27 Reorder the terms: 21 + -7w = 27 + -5w Solving 21 + -7w = 27 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 21 + -7w + 5w = 27 + -5w + 5w Combine like terms: -7w + 5w = -2w 21 + -2w = 27 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + -2w = 27 + 0 21 + -2w = 27 Add '-21' to each side of the equation. 21 + -21 + -2w = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -2w = 27 + -21 -2w = 27 + -21 Combine like terms: 27 + -21 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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