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Simplifying 13w + 16 = 6 + 3w Reorder the terms: 16 + 13w = 6 + 3w Solving 16 + 13w = 6 + 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. 16 + 13w + -3w = 6 + 3w + -3w Combine like terms: 13w + -3w = 10w 16 + 10w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 16 + 10w = 6 + 0 16 + 10w = 6 Add '-16' to each side of the equation. 16 + -16 + 10w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 10w = 6 + -16 10w = 6 + -16 Combine like terms: 6 + -16 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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