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Simplifying 13 = 8 + -5w Solving 13 = 8 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 13 + 5w = 8 + -5w + 5w Combine like terms: -5w + 5w = 0 13 + 5w = 8 + 0 13 + 5w = 8 Add '-13' to each side of the equation. 13 + -13 + 5w = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = 8 + -13 5w = 8 + -13 Combine like terms: 8 + -13 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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