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Simplifying 21w + -10 = 19w + -24 Reorder the terms: -10 + 21w = 19w + -24 Reorder the terms: -10 + 21w = -24 + 19w Solving -10 + 21w = -24 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -10 + 21w + -19w = -24 + 19w + -19w Combine like terms: 21w + -19w = 2w -10 + 2w = -24 + 19w + -19w Combine like terms: 19w + -19w = 0 -10 + 2w = -24 + 0 -10 + 2w = -24 Add '10' to each side of the equation. -10 + 10 + 2w = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -24 + 10 2w = -24 + 10 Combine like terms: -24 + 10 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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