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Simplifying 3(w + 7) = -4w + -35 Reorder the terms: 3(7 + w) = -4w + -35 (7 * 3 + w * 3) = -4w + -35 (21 + 3w) = -4w + -35 Reorder the terms: 21 + 3w = -35 + -4w Solving 21 + 3w = -35 + -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. 21 + 3w + 4w = -35 + -4w + 4w Combine like terms: 3w + 4w = 7w 21 + 7w = -35 + -4w + 4w Combine like terms: -4w + 4w = 0 21 + 7w = -35 + 0 21 + 7w = -35 Add '-21' to each side of the equation. 21 + -21 + 7w = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 7w = -35 + -21 7w = -35 + -21 Combine like terms: -35 + -21 = -56 7w = -56 Divide each side by '7'. w = -8 Simplifying w = -8
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