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Simplifying -8 + 10 + 5w = -1w + 8 Combine like terms: -8 + 10 = 2 2 + 5w = -1w + 8 Reorder the terms: 2 + 5w = 8 + -1w Solving 2 + 5w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 2 + 5w + w = 8 + -1w + w Combine like terms: 5w + w = 6w 2 + 6w = 8 + -1w + w Combine like terms: -1w + w = 0 2 + 6w = 8 + 0 2 + 6w = 8 Add '-2' to each side of the equation. 2 + -2 + 6w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 8 + -2 6w = 8 + -2 Combine like terms: 8 + -2 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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