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Simplifying 2w + 31 = 6w + 15 Reorder the terms: 31 + 2w = 6w + 15 Reorder the terms: 31 + 2w = 15 + 6w Solving 31 + 2w = 15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 31 + 2w + -6w = 15 + 6w + -6w Combine like terms: 2w + -6w = -4w 31 + -4w = 15 + 6w + -6w Combine like terms: 6w + -6w = 0 31 + -4w = 15 + 0 31 + -4w = 15 Add '-31' to each side of the equation. 31 + -31 + -4w = 15 + -31 Combine like terms: 31 + -31 = 0 0 + -4w = 15 + -31 -4w = 15 + -31 Combine like terms: 15 + -31 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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