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Simplifying 13 + 4w = -2w + 12 + w Reorder the terms: 13 + 4w = 12 + -2w + w Combine like terms: -2w + w = -1w 13 + 4w = 12 + -1w Solving 13 + 4w = 12 + -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. 13 + 4w + w = 12 + -1w + w Combine like terms: 4w + w = 5w 13 + 5w = 12 + -1w + w Combine like terms: -1w + w = 0 13 + 5w = 12 + 0 13 + 5w = 12 Add '-13' to each side of the equation. 13 + -13 + 5w = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = 12 + -13 5w = 12 + -13 Combine like terms: 12 + -13 = -1 5w = -1 Divide each side by '5'. w = -0.2 Simplifying w = -0.2
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