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Simplifying 10w + -17 = 2w + -12 Reorder the terms: -17 + 10w = 2w + -12 Reorder the terms: -17 + 10w = -12 + 2w Solving -17 + 10w = -12 + 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 + 10w + -2w = -12 + 2w + -2w Combine like terms: 10w + -2w = 8w -17 + 8w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -17 + 8w = -12 + 0 -17 + 8w = -12 Add '17' to each side of the equation. -17 + 17 + 8w = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 8w = -12 + 17 8w = -12 + 17 Combine like terms: -12 + 17 = 5 8w = 5 Divide each side by '8'. w = 0.625 Simplifying w = 0.625
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