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Simplifying 4(w + 9) = -4w + -36 Reorder the terms: 4(9 + w) = -4w + -36 (9 * 4 + w * 4) = -4w + -36 (36 + 4w) = -4w + -36 Reorder the terms: 36 + 4w = -36 + -4w Solving 36 + 4w = -36 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 36 + 4w + 4w = -36 + -4w + 4w Combine like terms: 4w + 4w = 8w 36 + 8w = -36 + -4w + 4w Combine like terms: -4w + 4w = 0 36 + 8w = -36 + 0 36 + 8w = -36 Add '-36' to each side of the equation. 36 + -36 + 8w = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 8w = -36 + -36 8w = -36 + -36 Combine like terms: -36 + -36 = -72 8w = -72 Divide each side by '8'. w = -9 Simplifying w = -9
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