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Simplifying 7w + -1 + -8w = 3 + -5w Reorder the terms: -1 + 7w + -8w = 3 + -5w Combine like terms: 7w + -8w = -1w -1 + -1w = 3 + -5w Solving -1 + -1w = 3 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + -1w + 5w = 3 + -5w + 5w Combine like terms: -1w + 5w = 4w -1 + 4w = 3 + -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 4w = 3 + 0 -1 + 4w = 3 Add '1' to each side of the equation. -1 + 1 + 4w = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4w = 3 + 1 4w = 3 + 1 Combine like terms: 3 + 1 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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