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Simplifying -8 + -1w = 7w + 8 + -6w Reorder the terms: -8 + -1w = 8 + 7w + -6w Combine like terms: 7w + -6w = 1w -8 + -1w = 8 + 1w Solving -8 + -1w = 8 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -8 + -1w + -1w = 8 + 1w + -1w Combine like terms: -1w + -1w = -2w -8 + -2w = 8 + 1w + -1w Combine like terms: 1w + -1w = 0 -8 + -2w = 8 + 0 -8 + -2w = 8 Add '8' to each side of the equation. -8 + 8 + -2w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = 8 + 8 -2w = 8 + 8 Combine like terms: 8 + 8 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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