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Simplifying 2w + 17 = 8w + -37 Reorder the terms: 17 + 2w = 8w + -37 Reorder the terms: 17 + 2w = -37 + 8w Solving 17 + 2w = -37 + 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. 17 + 2w + -8w = -37 + 8w + -8w Combine like terms: 2w + -8w = -6w 17 + -6w = -37 + 8w + -8w Combine like terms: 8w + -8w = 0 17 + -6w = -37 + 0 17 + -6w = -37 Add '-17' to each side of the equation. 17 + -17 + -6w = -37 + -17 Combine like terms: 17 + -17 = 0 0 + -6w = -37 + -17 -6w = -37 + -17 Combine like terms: -37 + -17 = -54 -6w = -54 Divide each side by '-6'. w = 9 Simplifying w = 9
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