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Simplifying 8w + -17 = 2(w + 5) Reorder the terms: -17 + 8w = 2(w + 5) Reorder the terms: -17 + 8w = 2(5 + w) -17 + 8w = (5 * 2 + w * 2) -17 + 8w = (10 + 2w) Solving -17 + 8w = 10 + 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. -17 + 8w + -2w = 10 + 2w + -2w Combine like terms: 8w + -2w = 6w -17 + 6w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -17 + 6w = 10 + 0 -17 + 6w = 10 Add '17' to each side of the equation. -17 + 17 + 6w = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 6w = 10 + 17 6w = 10 + 17 Combine like terms: 10 + 17 = 27 6w = 27 Divide each side by '6'. w = 4.5 Simplifying w = 4.5
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