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Simplifying 13w + 38 = 8w + -2 Reorder the terms: 38 + 13w = 8w + -2 Reorder the terms: 38 + 13w = -2 + 8w Solving 38 + 13w = -2 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 38 + 13w + -8w = -2 + 8w + -8w Combine like terms: 13w + -8w = 5w 38 + 5w = -2 + 8w + -8w Combine like terms: 8w + -8w = 0 38 + 5w = -2 + 0 38 + 5w = -2 Add '-38' to each side of the equation. 38 + -38 + 5w = -2 + -38 Combine like terms: 38 + -38 = 0 0 + 5w = -2 + -38 5w = -2 + -38 Combine like terms: -2 + -38 = -40 5w = -40 Divide each side by '5'. w = -8 Simplifying w = -8
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