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Simplifying 10w + -3 = 2w + 13 Reorder the terms: -3 + 10w = 2w + 13 Reorder the terms: -3 + 10w = 13 + 2w Solving -3 + 10w = 13 + 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. -3 + 10w + -2w = 13 + 2w + -2w Combine like terms: 10w + -2w = 8w -3 + 8w = 13 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 8w = 13 + 0 -3 + 8w = 13 Add '3' to each side of the equation. -3 + 3 + 8w = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8w = 13 + 3 8w = 13 + 3 Combine like terms: 13 + 3 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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