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Simplifying 5w + 8 + -1w = 6w + -2v + -8 Reorder the terms: 8 + 5w + -1w = 6w + -2v + -8 Combine like terms: 5w + -1w = 4w 8 + 4w = 6w + -2v + -8 Reorder the terms: 8 + 4w = -8 + -2v + 6w Solving 8 + 4w = -8 + -2v + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8 + 4w + -6w = -8 + -2v + 6w + -6w Combine like terms: 4w + -6w = -2w 8 + -2w = -8 + -2v + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -2w = -8 + -2v + 0 8 + -2w = -8 + -2v Add '-8' to each side of the equation. 8 + -8 + -2w = -8 + -8 + -2v Combine like terms: 8 + -8 = 0 0 + -2w = -8 + -8 + -2v -2w = -8 + -8 + -2v Combine like terms: -8 + -8 = -16 -2w = -16 + -2v Divide each side by '-2'. w = 8 + v Simplifying w = 8 + v
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