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Simplifying 10w + -5 = 21 + -3w Reorder the terms: -5 + 10w = 21 + -3w Solving -5 + 10w = 21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -5 + 10w + 3w = 21 + -3w + 3w Combine like terms: 10w + 3w = 13w -5 + 13w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 -5 + 13w = 21 + 0 -5 + 13w = 21 Add '5' to each side of the equation. -5 + 5 + 13w = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 13w = 21 + 5 13w = 21 + 5 Combine like terms: 21 + 5 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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