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Simplifying 3w + 8 + -1w = -6v + -1 Reorder the terms: 8 + 3w + -1w = -6v + -1 Combine like terms: 3w + -1w = 2w 8 + 2w = -6v + -1 Reorder the terms: 8 + 2w = -1 + -6v Solving 8 + 2w = -1 + -6v Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2w = -1 + -8 + -6v Combine like terms: 8 + -8 = 0 0 + 2w = -1 + -8 + -6v 2w = -1 + -8 + -6v Combine like terms: -1 + -8 = -9 2w = -9 + -6v Divide each side by '2'. w = -4.5 + -3v Simplifying w = -4.5 + -3v
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