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Simplifying 13w + -2 = 10w + 14 Reorder the terms: -2 + 13w = 10w + 14 Reorder the terms: -2 + 13w = 14 + 10w Solving -2 + 13w = 14 + 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. -2 + 13w + -10w = 14 + 10w + -10w Combine like terms: 13w + -10w = 3w -2 + 3w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 -2 + 3w = 14 + 0 -2 + 3w = 14 Add '2' to each side of the equation. -2 + 2 + 3w = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 14 + 2 3w = 14 + 2 Combine like terms: 14 + 2 = 16 3w = 16 Divide each side by '3'. w = 5.333333333 Simplifying w = 5.333333333
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