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Simplifying 5w + 21 + w + 31 = 10w Reorder the terms: 21 + 31 + 5w + w = 10w Combine like terms: 21 + 31 = 52 52 + 5w + w = 10w Combine like terms: 5w + w = 6w 52 + 6w = 10w Solving 52 + 6w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 52 + 6w + -10w = 10w + -10w Combine like terms: 6w + -10w = -4w 52 + -4w = 10w + -10w Combine like terms: 10w + -10w = 0 52 + -4w = 0 Add '-52' to each side of the equation. 52 + -52 + -4w = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -4w = 0 + -52 -4w = 0 + -52 Combine like terms: 0 + -52 = -52 -4w = -52 Divide each side by '-4'. w = 13 Simplifying w = 13
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