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Simplifying 8 = 3(w + -8) + 5w Reorder the terms: 8 = 3(-8 + w) + 5w 8 = (-8 * 3 + w * 3) + 5w 8 = (-24 + 3w) + 5w Combine like terms: 3w + 5w = 8w 8 = -24 + 8w Solving 8 = -24 + 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. 8 + -8w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 8 + -8w = -24 + 0 8 + -8w = -24 Add '-8' to each side of the equation. 8 + -8 + -8w = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = -24 + -8 -8w = -24 + -8 Combine like terms: -24 + -8 = -32 -8w = -32 Divide each side by '-8'. w = 4 Simplifying w = 4
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