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Simplifying -4 = 8w + 5 + -5w + -7 + -2w Reorder the terms: -4 = 5 + -7 + 8w + -5w + -2w Combine like terms: 5 + -7 = -2 -4 = -2 + 8w + -5w + -2w Combine like terms: 8w + -5w = 3w -4 = -2 + 3w + -2w Combine like terms: 3w + -2w = 1w -4 = -2 + 1w Solving -4 = -2 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -4 + -1w = -2 + 1w + -1w Combine like terms: 1w + -1w = 0 -4 + -1w = -2 + 0 -4 + -1w = -2 Add '4' to each side of the equation. -4 + 4 + -1w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = -2 + 4 -1w = -2 + 4 Combine like terms: -2 + 4 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2
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