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Simplifying -8w + 17 = 2w + -3 Reorder the terms: 17 + -8w = 2w + -3 Reorder the terms: 17 + -8w = -3 + 2w Solving 17 + -8w = -3 + 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 = -3 + 2w + -2w Combine like terms: -8w + -2w = -10w 17 + -10w = -3 + 2w + -2w Combine like terms: 2w + -2w = 0 17 + -10w = -3 + 0 17 + -10w = -3 Add '-17' to each side of the equation. 17 + -17 + -10w = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -10w = -3 + -17 -10w = -3 + -17 Combine like terms: -3 + -17 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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