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Simplifying -6 + 7 = 5w + 2 + -4w Combine like terms: -6 + 7 = 1 1 = 5w + 2 + -4w Reorder the terms: 1 = 2 + 5w + -4w Combine like terms: 5w + -4w = 1w 1 = 2 + 1w Solving 1 = 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. 1 + -1w = 2 + 1w + -1w Combine like terms: 1w + -1w = 0 1 + -1w = 2 + 0 1 + -1w = 2 Add '-1' to each side of the equation. 1 + -1 + -1w = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 2 + -1 -1w = 2 + -1 Combine like terms: 2 + -1 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1
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