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Simplifying -7 + 7w = -7w + 7 Reorder the terms: -7 + 7w = 7 + -7w Solving -7 + 7w = 7 + -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. -7 + 7w + 7w = 7 + -7w + 7w Combine like terms: 7w + 7w = 14w -7 + 14w = 7 + -7w + 7w Combine like terms: -7w + 7w = 0 -7 + 14w = 7 + 0 -7 + 14w = 7 Add '7' to each side of the equation. -7 + 7 + 14w = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 14w = 7 + 7 14w = 7 + 7 Combine like terms: 7 + 7 = 14 14w = 14 Divide each side by '14'. w = 1 Simplifying w = 1
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