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Simplifying 5w + 8 + -1w = -10 + -2w Reorder the terms: 8 + 5w + -1w = -10 + -2w Combine like terms: 5w + -1w = 4w 8 + 4w = -10 + -2w Solving 8 + 4w = -10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 8 + 4w + 2w = -10 + -2w + 2w Combine like terms: 4w + 2w = 6w 8 + 6w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 8 + 6w = -10 + 0 8 + 6w = -10 Add '-8' to each side of the equation. 8 + -8 + 6w = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = -10 + -8 6w = -10 + -8 Combine like terms: -10 + -8 = -18 6w = -18 Divide each side by '6'. w = -3 Simplifying w = -3
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