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Simplifying 10w + -3 = 8w + 5 Reorder the terms: -3 + 10w = 8w + 5 Reorder the terms: -3 + 10w = 5 + 8w Solving -3 + 10w = 5 + 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. -3 + 10w + -8w = 5 + 8w + -8w Combine like terms: 10w + -8w = 2w -3 + 2w = 5 + 8w + -8w Combine like terms: 8w + -8w = 0 -3 + 2w = 5 + 0 -3 + 2w = 5 Add '3' to each side of the equation. -3 + 3 + 2w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 5 + 3 2w = 5 + 3 Combine like terms: 5 + 3 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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