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Simplifying 3w + -4 = w + 9 Reorder the terms: -4 + 3w = w + 9 Reorder the terms: -4 + 3w = 9 + w Solving -4 + 3w = 9 + w 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. -4 + 3w + -1w = 9 + w + -1w Combine like terms: 3w + -1w = 2w -4 + 2w = 9 + w + -1w Combine like terms: w + -1w = 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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