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Simplifying w + -4 = -9 + 2w Reorder the terms: -4 + w = -9 + 2w Solving -4 + w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -4 + w + -2w = -9 + 2w + -2w Combine like terms: w + -2w = -1w -4 + -1w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + -1w = -9 + 0 -4 + -1w = -9 Add '4' to each side of the equation. -4 + 4 + -1w = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = -9 + 4 -1w = -9 + 4 Combine like terms: -9 + 4 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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