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Simplifying -4w + 5 = w + 2 + -6w Reorder the terms: 5 + -4w = w + 2 + -6w Reorder the terms: 5 + -4w = 2 + w + -6w Combine like terms: w + -6w = -5w 5 + -4w = 2 + -5w Solving 5 + -4w = 2 + -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. 5 + -4w + 5w = 2 + -5w + 5w Combine like terms: -4w + 5w = 1w 5 + 1w = 2 + -5w + 5w Combine like terms: -5w + 5w = 0 5 + 1w = 2 + 0 5 + 1w = 2 Add '-5' to each side of the equation. 5 + -5 + 1w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 2 + -5 1w = 2 + -5 Combine like terms: 2 + -5 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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