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Simplifying 6w + 13 = 4w + 25 Reorder the terms: 13 + 6w = 4w + 25 Reorder the terms: 13 + 6w = 25 + 4w Solving 13 + 6w = 25 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 13 + 6w + -4w = 25 + 4w + -4w Combine like terms: 6w + -4w = 2w 13 + 2w = 25 + 4w + -4w Combine like terms: 4w + -4w = 0 13 + 2w = 25 + 0 13 + 2w = 25 Add '-13' to each side of the equation. 13 + -13 + 2w = 25 + -13 Combine like terms: 13 + -13 = 0 0 + 2w = 25 + -13 2w = 25 + -13 Combine like terms: 25 + -13 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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