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Simplifying 8(w + 5) = 2w + 34 Reorder the terms: 8(5 + w) = 2w + 34 (5 * 8 + w * 8) = 2w + 34 (40 + 8w) = 2w + 34 Reorder the terms: 40 + 8w = 34 + 2w Solving 40 + 8w = 34 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 40 + 8w + -2w = 34 + 2w + -2w Combine like terms: 8w + -2w = 6w 40 + 6w = 34 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + 6w = 34 + 0 40 + 6w = 34 Add '-40' to each side of the equation. 40 + -40 + 6w = 34 + -40 Combine like terms: 40 + -40 = 0 0 + 6w = 34 + -40 6w = 34 + -40 Combine like terms: 34 + -40 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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