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Simplifying 5(w + 8) = 3w + 34 Reorder the terms: 5(8 + w) = 3w + 34 (8 * 5 + w * 5) = 3w + 34 (40 + 5w) = 3w + 34 Reorder the terms: 40 + 5w = 34 + 3w Solving 40 + 5w = 34 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 40 + 5w + -3w = 34 + 3w + -3w Combine like terms: 5w + -3w = 2w 40 + 2w = 34 + 3w + -3w Combine like terms: 3w + -3w = 0 40 + 2w = 34 + 0 40 + 2w = 34 Add '-40' to each side of the equation. 40 + -40 + 2w = 34 + -40 Combine like terms: 40 + -40 = 0 0 + 2w = 34 + -40 2w = 34 + -40 Combine like terms: 34 + -40 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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