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Simplifying -5w + 13 = -1w + 5 Reorder the terms: 13 + -5w = -1w + 5 Reorder the terms: 13 + -5w = 5 + -1w Solving 13 + -5w = 5 + -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 + -5w + w = 5 + -1w + w Combine like terms: -5w + w = -4w 13 + -4w = 5 + -1w + w Combine like terms: -1w + w = 0 13 + -4w = 5 + 0 13 + -4w = 5 Add '-13' to each side of the equation. 13 + -13 + -4w = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = 5 + -13 -4w = 5 + -13 Combine like terms: 5 + -13 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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