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Simplifying 7w + -8w = -4w + -1w + -30 Combine like terms: 7w + -8w = -1w -1w = -4w + -1w + -30 Reorder the terms: -1w = -30 + -4w + -1w Combine like terms: -4w + -1w = -5w -1w = -30 + -5w Solving -1w = -30 + -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. -1w + 5w = -30 + -5w + 5w Combine like terms: -1w + 5w = 4w 4w = -30 + -5w + 5w Combine like terms: -5w + 5w = 0 4w = -30 + 0 4w = -30 Divide each side by '4'. w = -7.5 Simplifying w = -7.5
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