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Simplifying -2w + 6 + -5w + -7 = -8w Reorder the terms: 6 + -7 + -2w + -5w = -8w Combine like terms: 6 + -7 = -1 -1 + -2w + -5w = -8w Combine like terms: -2w + -5w = -7w -1 + -7w = -8w Solving -1 + -7w = -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -1 + -7w + 8w = -8w + 8w Combine like terms: -7w + 8w = 1w -1 + 1w = -8w + 8w Combine like terms: -8w + 8w = 0 -1 + 1w = 0 Add '1' to each side of the equation. -1 + 1 + 1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 0 + 1 1w = 0 + 1 Combine like terms: 0 + 1 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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