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Simplifying 1w + -4 = 9 + -1w Reorder the terms: -4 + 1w = 9 + -1w Solving -4 + 1w = 9 + -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. -4 + 1w + w = 9 + -1w + w Combine like terms: 1w + w = 2w -4 + 2w = 9 + -1w + w Combine like terms: -1w + w = 0 -4 + 2w = 9 + 0 -4 + 2w = 9 Add '4' to each side of the equation. -4 + 4 + 2w = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 9 + 4 2w = 9 + 4 Combine like terms: 9 + 4 = 13 2w = 13 Divide each side by '2'. w = 6.5 Simplifying w = 6.5
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