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Simplifying 7(w + -8) + 7w = 14 Reorder the terms: 7(-8 + w) + 7w = 14 (-8 * 7 + w * 7) + 7w = 14 (-56 + 7w) + 7w = 14 Combine like terms: 7w + 7w = 14w -56 + 14w = 14 Solving -56 + 14w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 14w = 14 + 56 Combine like terms: -56 + 56 = 0 0 + 14w = 14 + 56 14w = 14 + 56 Combine like terms: 14 + 56 = 70 14w = 70 Divide each side by '14'. w = 5 Simplifying w = 5
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