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Simplifying 3(w + 8) + -5w = 34 Reorder the terms: 3(8 + w) + -5w = 34 (8 * 3 + w * 3) + -5w = 34 (24 + 3w) + -5w = 34 Combine like terms: 3w + -5w = -2w 24 + -2w = 34 Solving 24 + -2w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2w = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 34 + -24 -2w = 34 + -24 Combine like terms: 34 + -24 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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