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Simplifying -27 = 2w + 5(w + -4) Reorder the terms: -27 = 2w + 5(-4 + w) -27 = 2w + (-4 * 5 + w * 5) -27 = 2w + (-20 + 5w) Reorder the terms: -27 = -20 + 2w + 5w Combine like terms: 2w + 5w = 7w -27 = -20 + 7w Solving -27 = -20 + 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. -27 + -7w = -20 + 7w + -7w Combine like terms: 7w + -7w = 0 -27 + -7w = -20 + 0 -27 + -7w = -20 Add '27' to each side of the equation. -27 + 27 + -7w = -20 + 27 Combine like terms: -27 + 27 = 0 0 + -7w = -20 + 27 -7w = -20 + 27 Combine like terms: -20 + 27 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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