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Simplifying -35 = 7(w + 3) + 7w Reorder the terms: -35 = 7(3 + w) + 7w -35 = (3 * 7 + w * 7) + 7w -35 = (21 + 7w) + 7w Combine like terms: 7w + 7w = 14w -35 = 21 + 14w Solving -35 = 21 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -35 + -14w = 21 + 14w + -14w Combine like terms: 14w + -14w = 0 -35 + -14w = 21 + 0 -35 + -14w = 21 Add '35' to each side of the equation. -35 + 35 + -14w = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -14w = 21 + 35 -14w = 21 + 35 Combine like terms: 21 + 35 = 56 -14w = 56 Divide each side by '-14'. w = -4 Simplifying w = -4
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