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Simplifying 2w + 5 = 8w + 17 Reorder the terms: 5 + 2w = 8w + 17 Reorder the terms: 5 + 2w = 17 + 8w Solving 5 + 2w = 17 + 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. 5 + 2w + -8w = 17 + 8w + -8w Combine like terms: 2w + -8w = -6w 5 + -6w = 17 + 8w + -8w Combine like terms: 8w + -8w = 0 5 + -6w = 17 + 0 5 + -6w = 17 Add '-5' to each side of the equation. 5 + -5 + -6w = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 17 + -5 -6w = 17 + -5 Combine like terms: 17 + -5 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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