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Simplifying 40 = 3w + -13 + 5w Reorder the terms: 40 = -13 + 3w + 5w Combine like terms: 3w + 5w = 8w 40 = -13 + 8w Solving 40 = -13 + 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. 40 + -8w = -13 + 8w + -8w Combine like terms: 8w + -8w = 0 40 + -8w = -13 + 0 40 + -8w = -13 Add '-40' to each side of the equation. 40 + -40 + -8w = -13 + -40 Combine like terms: 40 + -40 = 0 0 + -8w = -13 + -40 -8w = -13 + -40 Combine like terms: -13 + -40 = -53 -8w = -53 Divide each side by '-8'. w = 6.625 Simplifying w = 6.625
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