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Simplifying 15w + 1w + 5w + -19w + -2 = 10 Reorder the terms: -2 + 15w + 1w + 5w + -19w = 10 Combine like terms: 15w + 1w = 16w -2 + 16w + 5w + -19w = 10 Combine like terms: 16w + 5w = 21w -2 + 21w + -19w = 10 Combine like terms: 21w + -19w = 2w -2 + 2w = 10 Solving -2 + 2w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 10 + 2 2w = 10 + 2 Combine like terms: 10 + 2 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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