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Simplifying 13w + 5 = 10w + -12 Reorder the terms: 5 + 13w = 10w + -12 Reorder the terms: 5 + 13w = -12 + 10w Solving 5 + 13w = -12 + 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. 5 + 13w + -10w = -12 + 10w + -10w Combine like terms: 13w + -10w = 3w 5 + 3w = -12 + 10w + -10w Combine like terms: 10w + -10w = 0 5 + 3w = -12 + 0 5 + 3w = -12 Add '-5' to each side of the equation. 5 + -5 + 3w = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = -12 + -5 3w = -12 + -5 Combine like terms: -12 + -5 = -17 3w = -17 Divide each side by '3'. w = -5.666666667 Simplifying w = -5.666666667
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